63x=16x(x-1)+20(x-1)

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Solution for 63x=16x(x-1)+20(x-1) equation: 


Simplifying
63x = 16x(x + -1) + 20(x + -1)

Reorder the terms:
63x = 16x(-1 + x) + 20(x + -1)
63x = (-1 * 16x + x * 16x) + 20(x + -1)
63x = (-16x + 16x2) + 20(x + -1)

Reorder the terms:
63x = -16x + 16x2 + 20(-1 + x)
63x = -16x + 16x2 + (-1 * 20 + x * 20)
63x = -16x + 16x2 + (-20 + 20x)

Reorder the terms:
63x = -20 + -16x + 20x + 16x2

Combine like terms: -16x + 20x = 4x
63x = -20 + 4x + 16x2

Solving
63x = -20 + 4x + 16x2

Solving for variable 'x'.

Reorder the terms:
20 + 63x + -4x + -16x2 = -20 + 4x + 16x2 + 20 + -4x + -16x2

Combine like terms: 63x + -4x = 59x
20 + 59x + -16x2 = -20 + 4x + 16x2 + 20 + -4x + -16x2

Reorder the terms:
20 + 59x + -16x2 = -20 + 20 + 4x + -4x + 16x2 + -16x2

Combine like terms: -20 + 20 = 0
20 + 59x + -16x2 = 0 + 4x + -4x + 16x2 + -16x2
20 + 59x + -16x2 = 4x + -4x + 16x2 + -16x2

Combine like terms: 4x + -4x = 0
20 + 59x + -16x2 = 0 + 16x2 + -16x2
20 + 59x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
20 + 59x + -16x2 = 0

Factor a trinomial.
(4 + -1x)(5 + 16x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(5 + 16x)' equal to zero and attempt to solve:

Simplifying
5 + 16x = 0

Solving
5 + 16x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 16x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 16x = 0 + -5
16x = 0 + -5

Combine like terms: 0 + -5 = -5
16x = -5

Divide each side by '16'.
x = -0.3125

Simplifying
x = -0.3125
Solution
x = {4, -0.3125}

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