x*x=16(x-1)(x-1)

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Solution for x*x=16(x-1)(x-1) equation: 


Simplifying
x * x = 16(x + -1)(x + -1)

Multiply x * x
x2 = 16(x + -1)(x + -1)

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

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

Multiply (-1 + x) * (-1 + x)
x2 = 16(-1(-1 + x) + x(-1 + x))
x2 = 16((-1 * -1 + x * -1) + x(-1 + x))
x2 = 16((1 + -1x) + x(-1 + x))
x2 = 16(1 + -1x + (-1 * x + x * x))
x2 = 16(1 + -1x + (-1x + x2))

Combine like terms: -1x + -1x = -2x
x2 = 16(1 + -2x + x2)
x2 = (1 * 16 + -2x * 16 + x2 * 16)
x2 = (16 + -32x + 16x2)

Solving
x2 = 16 + -32x + 16x2

Solving for variable 'x'.

Reorder the terms:
-16 + 32x + x2 + -16x2 = 16 + -32x + 16x2 + -16 + 32x + -16x2

Combine like terms: x2 + -16x2 = -15x2
-16 + 32x + -15x2 = 16 + -32x + 16x2 + -16 + 32x + -16x2

Reorder the terms:
-16 + 32x + -15x2 = 16 + -16 + -32x + 32x + 16x2 + -16x2

Combine like terms: 16 + -16 = 0
-16 + 32x + -15x2 = 0 + -32x + 32x + 16x2 + -16x2
-16 + 32x + -15x2 = -32x + 32x + 16x2 + -16x2

Combine like terms: -32x + 32x = 0
-16 + 32x + -15x2 = 0 + 16x2 + -16x2
-16 + 32x + -15x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-16 + 32x + -15x2 = 0

Factor a trinomial.
(-4 + 3x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 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 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {1.333333333, 0.8}

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