(x-3)(4x+2)=-10(x-3)

Solution for (x-3)(4x+2)=-10(x-3) equation:

Simplifying
(x + -3)(4x + 2) = -10(x + -3)

Reorder the terms:
(-3 + x)(4x + 2) = -10(x + -3)

Reorder the terms:
(-3 + x)(2 + 4x) = -10(x + -3)

Multiply (-3 + x) * (2 + 4x)
(-3(2 + 4x) + x(2 + 4x)) = -10(x + -3)
((2 * -3 + 4x * -3) + x(2 + 4x)) = -10(x + -3)
((-6 + -12x) + x(2 + 4x)) = -10(x + -3)
(-6 + -12x + (2 * x + 4x * x)) = -10(x + -3)
(-6 + -12x + (2x + 4x2)) = -10(x + -3)

Combine like terms: -12x + 2x = -10x
(-6 + -10x + 4x2) = -10(x + -3)

Reorder the terms:
-6 + -10x + 4x2 = -10(-3 + x)
-6 + -10x + 4x2 = (-3 * -10 + x * -10)
-6 + -10x + 4x2 = (30 + -10x)

Add '10x' to each side of the equation.
-6 + -10x + 10x + 4x2 = 30 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 0 + 4x2 = 30 + -10x + 10x
-6 + 4x2 = 30 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 4x2 = 30 + 0
-6 + 4x2 = 30

Solving
-6 + 4x2 = 30

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 4x2 = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = 30 + 6
4x2 = 30 + 6

Combine like terms: 30 + 6 = 36
4x2 = 36

Divide each side by '4'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}