(x+4)(x-3)+(x+4)(x-5)=

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Solution for (x+4)(x-3)+(x+4)(x-5)= equation:


Simplifying
(x + 4)(x + -3) + (x + 4)(x + -5) = 0

Reorder the terms:
(4 + x)(x + -3) + (x + 4)(x + -5) = 0

Reorder the terms:
(4 + x)(-3 + x) + (x + 4)(x + -5) = 0

Multiply (4 + x) * (-3 + x)
(4(-3 + x) + x(-3 + x)) + (x + 4)(x + -5) = 0
((-3 * 4 + x * 4) + x(-3 + x)) + (x + 4)(x + -5) = 0
((-12 + 4x) + x(-3 + x)) + (x + 4)(x + -5) = 0
(-12 + 4x + (-3 * x + x * x)) + (x + 4)(x + -5) = 0
(-12 + 4x + (-3x + x2)) + (x + 4)(x + -5) = 0

Combine like terms: 4x + -3x = 1x
(-12 + 1x + x2) + (x + 4)(x + -5) = 0

Reorder the terms:
-12 + 1x + x2 + (4 + x)(x + -5) = 0

Reorder the terms:
-12 + 1x + x2 + (4 + x)(-5 + x) = 0

Multiply (4 + x) * (-5 + x)
-12 + 1x + x2 + (4(-5 + x) + x(-5 + x)) = 0
-12 + 1x + x2 + ((-5 * 4 + x * 4) + x(-5 + x)) = 0
-12 + 1x + x2 + ((-20 + 4x) + x(-5 + x)) = 0
-12 + 1x + x2 + (-20 + 4x + (-5 * x + x * x)) = 0
-12 + 1x + x2 + (-20 + 4x + (-5x + x2)) = 0

Combine like terms: 4x + -5x = -1x
-12 + 1x + x2 + (-20 + -1x + x2) = 0

Reorder the terms:
-12 + -20 + 1x + -1x + x2 + x2 = 0

Combine like terms: -12 + -20 = -32
-32 + 1x + -1x + x2 + x2 = 0

Combine like terms: 1x + -1x = 0
-32 + 0 + x2 + x2 = 0
-32 + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
-32 + 2x2 = 0

Solving
-32 + 2x2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 2x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 2x2 = 0 + 32
2x2 = 0 + 32

Combine like terms: 0 + 32 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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