Combining Short Multiplication Formulas: Equations with variables on both sides

Question 1

Solve the following equation:

$$ (x-4)^2+3x^2=-16x+12 $$

Question 2

Solve the following equation:

$$ (x+2)^2=(2x+3)^2 $$

Question 3

Find X

$$ 7x+1+(2x+3)^2=(4x+2)^2 $$

Question 4

Solve the following equation:

$$ (x+3)^2=2x+5 $$

Question 5

Solve the equation

$$ 2x^2-2x=(x+1)^2 $$

Examples with solutions for Combining Short Multiplication Formulas: Equations with variables on both sides

Solve the following equation:

$(x-4)^2+3x^2=-16x+12$

$x=-1$

Solve the following equation:

$(x+2)^2=(2x+3)^2$

$x_1=-1,x_2=-\frac{5}{3}$

Find X

$7x+1+(2x+3)^2=(4x+2)^2$

$\frac{1\pm\sqrt{33}}{8}$

Solve the following equation:

$(x+3)^2=2x+5$

$x=-2$

Solve the equation

$2x^2-2x=(x+1)^2$

Answers a + b