(x+5)(x-4)+4x^2=(5x+3)(x-4)+2(x-4)+64

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Solution for (x+5)(x-4)+4x^2=(5x+3)(x-4)+2(x-4)+64 equation:


Simplifying
(x + 5)(x + -4) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Reorder the terms:
(5 + x)(x + -4) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Reorder the terms:
(5 + x)(-4 + x) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Multiply (5 + x) * (-4 + x)
(5(-4 + x) + x(-4 + x)) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64
((-4 * 5 + x * 5) + x(-4 + x)) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64
((-20 + 5x) + x(-4 + x)) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64
(-20 + 5x + (-4 * x + x * x)) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64
(-20 + 5x + (-4x + x2)) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Combine like terms: 5x + -4x = 1x
(-20 + 1x + x2) + 4x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Combine like terms: x2 + 4x2 = 5x2
-20 + 1x + 5x2 = (5x + 3)(x + -4) + 2(x + -4) + 64

Reorder the terms:
-20 + 1x + 5x2 = (3 + 5x)(x + -4) + 2(x + -4) + 64

Reorder the terms:
-20 + 1x + 5x2 = (3 + 5x)(-4 + x) + 2(x + -4) + 64

Multiply (3 + 5x) * (-4 + x)
-20 + 1x + 5x2 = (3(-4 + x) + 5x * (-4 + x)) + 2(x + -4) + 64
-20 + 1x + 5x2 = ((-4 * 3 + x * 3) + 5x * (-4 + x)) + 2(x + -4) + 64
-20 + 1x + 5x2 = ((-12 + 3x) + 5x * (-4 + x)) + 2(x + -4) + 64
-20 + 1x + 5x2 = (-12 + 3x + (-4 * 5x + x * 5x)) + 2(x + -4) + 64
-20 + 1x + 5x2 = (-12 + 3x + (-20x + 5x2)) + 2(x + -4) + 64

Combine like terms: 3x + -20x = -17x
-20 + 1x + 5x2 = (-12 + -17x + 5x2) + 2(x + -4) + 64

Reorder the terms:
-20 + 1x + 5x2 = -12 + -17x + 5x2 + 2(-4 + x) + 64
-20 + 1x + 5x2 = -12 + -17x + 5x2 + (-4 * 2 + x * 2) + 64
-20 + 1x + 5x2 = -12 + -17x + 5x2 + (-8 + 2x) + 64

Reorder the terms:
-20 + 1x + 5x2 = -12 + -8 + 64 + -17x + 2x + 5x2

Combine like terms: -12 + -8 = -20
-20 + 1x + 5x2 = -20 + 64 + -17x + 2x + 5x2

Combine like terms: -20 + 64 = 44
-20 + 1x + 5x2 = 44 + -17x + 2x + 5x2

Combine like terms: -17x + 2x = -15x
-20 + 1x + 5x2 = 44 + -15x + 5x2

Add '-5x2' to each side of the equation.
-20 + 1x + 5x2 + -5x2 = 44 + -15x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-20 + 1x + 0 = 44 + -15x + 5x2 + -5x2
-20 + 1x = 44 + -15x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-20 + 1x = 44 + -15x + 0
-20 + 1x = 44 + -15x

Solving
-20 + 1x = 44 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-20 + 1x + 15x = 44 + -15x + 15x

Combine like terms: 1x + 15x = 16x
-20 + 16x = 44 + -15x + 15x

Combine like terms: -15x + 15x = 0
-20 + 16x = 44 + 0
-20 + 16x = 44

Add '20' to each side of the equation.
-20 + 20 + 16x = 44 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = 44 + 20
16x = 44 + 20

Combine like terms: 44 + 20 = 64
16x = 64

Divide each side by '16'.
x = 4

Simplifying
x = 4

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