(3x-4)(4x+5)=x(8x-1)+16

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Solution for (3x-4)(4x+5)=x(8x-1)+16 equation: 


Simplifying
(3x + -4)(4x + 5) = x(8x + -1) + 16

Reorder the terms:
(-4 + 3x)(4x + 5) = x(8x + -1) + 16

Reorder the terms:
(-4 + 3x)(5 + 4x) = x(8x + -1) + 16

Multiply (-4 + 3x) * (5 + 4x)
(-4(5 + 4x) + 3x * (5 + 4x)) = x(8x + -1) + 16
((5 * -4 + 4x * -4) + 3x * (5 + 4x)) = x(8x + -1) + 16
((-20 + -16x) + 3x * (5 + 4x)) = x(8x + -1) + 16
(-20 + -16x + (5 * 3x + 4x * 3x)) = x(8x + -1) + 16
(-20 + -16x + (15x + 12x2)) = x(8x + -1) + 16

Combine like terms: -16x + 15x = -1x
(-20 + -1x + 12x2) = x(8x + -1) + 16

Reorder the terms:
-20 + -1x + 12x2 = x(-1 + 8x) + 16
-20 + -1x + 12x2 = (-1 * x + 8x * x) + 16
-20 + -1x + 12x2 = (-1x + 8x2) + 16

Reorder the terms:
-20 + -1x + 12x2 = 16 + -1x + 8x2

Add 'x' to each side of the equation.
-20 + -1x + x + 12x2 = 16 + -1x + x + 8x2

Combine like terms: -1x + x = 0
-20 + 0 + 12x2 = 16 + -1x + x + 8x2
-20 + 12x2 = 16 + -1x + x + 8x2

Combine like terms: -1x + x = 0
-20 + 12x2 = 16 + 0 + 8x2
-20 + 12x2 = 16 + 8x2

Solving
-20 + 12x2 = 16 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
-20 + 12x2 + -8x2 = 16 + 8x2 + -8x2

Combine like terms: 12x2 + -8x2 = 4x2
-20 + 4x2 = 16 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-20 + 4x2 = 16 + 0
-20 + 4x2 = 16

Add '20' to each side of the equation.
-20 + 20 + 4x2 = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 4x2 = 16 + 20
4x2 = 16 + 20

Combine like terms: 16 + 20 = 36
4x2 = 36

Divide each side by '4'.
x2 = 9

Simplifying
x2 = 9

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

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