Question

(7x-5)²+67x-49x²= -2

Answer 1

$(7x-5)^2+67x-49x^2+2=0$
$(7x-5)(7x-5)+67x+(-49x^2+2)=0$
$7x(7x)+7x*-5-5(7x)-5*-5+67x+(-49x^2+2)=0$
$49x^2-70x+25+67x+(-49x^2+2)=0$
$49x^2-3x+25+(-49x^2+2)=0$
$49x^2-3x+25-49x^2+2=0$
$-3x+25+0+2=0$
$-3x+25+2=0$
$-3x+27=0$
$3(-x+9)=0$
$3*(-1(x-9))=0$
$-3(x-9)=0$
$(x-9)=0$
$x-9=0$
$x=9$
Надеюсь, будет понятно

Answer 2

To answer your question, I will use some online calculators that can help me solve and factor equations. Here are the steps I followed:

- First, I simplified the equation by expanding the square term and combining the like terms. I got:

(7x-5)² + 67x - 49x² = -2

49x² - 70x + 25 + 67x - 49x² = -2

-3x + 25 = -2

- Next, I subtracted 25 from both sides and divided by -3 to isolate x. I got:

-3x = -27

x = 9

- Finally, I checked my answer by plugging it back into the original equation. I got:

(7*9-5)² + 67*9 - 49*9² = -2

(58)² + 603 - 3969 = -2

3364 - 3366 = -2

-2 = -2

This confirms that x = 9 is the correct solution.

You can use the following online calculators to verify my steps and see more details:

- [Factoring Calculator](https://www.mathway.com/Calculator/factoring-calculator): This calculator can help you factor any polynomial expression into simpler factors. - [Solve for x Calculator](https://www.mathway.com/Calculator/solve-for-x-calculator): This calculator can help you solve any equation for x and show you the steps and explanations. - [Step-by-Step Calculator](https://www.symbolab.com/solver/step-by-step): This calculator can help you solve any math problem and show you the solution, graph, detailed steps and explanations.