(x-4)(2x+5)+10x=x(x+7)+44

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Solution for (x-4)(2x+5)+10x=x(x+7)+44 equation: 


Simplifying
(x + -4)(2x + 5) + 10x = x(x + 7) + 44

Reorder the terms:
(-4 + x)(2x + 5) + 10x = x(x + 7) + 44

Reorder the terms:
(-4 + x)(5 + 2x) + 10x = x(x + 7) + 44

Multiply (-4 + x) * (5 + 2x)
(-4(5 + 2x) + x(5 + 2x)) + 10x = x(x + 7) + 44
((5 * -4 + 2x * -4) + x(5 + 2x)) + 10x = x(x + 7) + 44
((-20 + -8x) + x(5 + 2x)) + 10x = x(x + 7) + 44
(-20 + -8x + (5 * x + 2x * x)) + 10x = x(x + 7) + 44
(-20 + -8x + (5x + 2x2)) + 10x = x(x + 7) + 44

Combine like terms: -8x + 5x = -3x
(-20 + -3x + 2x2) + 10x = x(x + 7) + 44

Reorder the terms:
-20 + -3x + 10x + 2x2 = x(x + 7) + 44

Combine like terms: -3x + 10x = 7x
-20 + 7x + 2x2 = x(x + 7) + 44

Reorder the terms:
-20 + 7x + 2x2 = x(7 + x) + 44
-20 + 7x + 2x2 = (7 * x + x * x) + 44
-20 + 7x + 2x2 = (7x + x2) + 44

Reorder the terms:
-20 + 7x + 2x2 = 44 + 7x + x2

Add '-7x' to each side of the equation.
-20 + 7x + -7x + 2x2 = 44 + 7x + -7x + x2

Combine like terms: 7x + -7x = 0
-20 + 0 + 2x2 = 44 + 7x + -7x + x2
-20 + 2x2 = 44 + 7x + -7x + x2

Combine like terms: 7x + -7x = 0
-20 + 2x2 = 44 + 0 + x2
-20 + 2x2 = 44 + x2

Solving
-20 + 2x2 = 44 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-20 + 2x2 + -1x2 = 44 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-20 + 1x2 = 44 + x2 + -1x2

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

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

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

Combine like terms: 44 + 20 = 64
1x2 = 64

Divide each side by '1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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