=(16x-19)(8x-8)

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Solution for =(16x-19)(8x-8) equation:


Simplifying
0 = (16x + -19)(8x + -8)

Reorder the terms:
0 = (-19 + 16x)(8x + -8)

Reorder the terms:
0 = (-19 + 16x)(-8 + 8x)

Multiply (-19 + 16x) * (-8 + 8x)
0 = (-19(-8 + 8x) + 16x * (-8 + 8x))
0 = ((-8 * -19 + 8x * -19) + 16x * (-8 + 8x))
0 = ((152 + -152x) + 16x * (-8 + 8x))
0 = (152 + -152x + (-8 * 16x + 8x * 16x))
0 = (152 + -152x + (-128x + 128x2))

Combine like terms: -152x + -128x = -280x
0 = (152 + -280x + 128x2)

Solving
0 = 152 + -280x + 128x2

Solving for variable 'x'.

Combine like terms: 0 + -152 = -152
-152 + 280x + -128x2 = 152 + -280x + 128x2 + -152 + 280x + -128x2

Reorder the terms:
-152 + 280x + -128x2 = 152 + -152 + -280x + 280x + 128x2 + -128x2

Combine like terms: 152 + -152 = 0
-152 + 280x + -128x2 = 0 + -280x + 280x + 128x2 + -128x2
-152 + 280x + -128x2 = -280x + 280x + 128x2 + -128x2

Combine like terms: -280x + 280x = 0
-152 + 280x + -128x2 = 0 + 128x2 + -128x2
-152 + 280x + -128x2 = 128x2 + -128x2

Combine like terms: 128x2 + -128x2 = 0
-152 + 280x + -128x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-19 + 35x + -16x2) = 0

Factor a trinomial.
8((-19 + 16x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-19 + 16x)' equal to zero and attempt to solve: Simplifying -19 + 16x = 0 Solving -19 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 16x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 16x = 0 + 19 16x = 0 + 19 Combine like terms: 0 + 19 = 19 16x = 19 Divide each side by '16'. x = 1.1875 Simplifying x = 1.1875

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {1.1875, 1}

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