(19x-1)(2x+8)=180

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Solution for (19x-1)(2x+8)=180 equation: 


Simplifying
(19x + -1)(2x + 8) = 180

Reorder the terms:
(-1 + 19x)(2x + 8) = 180

Reorder the terms:
(-1 + 19x)(8 + 2x) = 180

Multiply (-1 + 19x) * (8 + 2x)
(-1(8 + 2x) + 19x * (8 + 2x)) = 180
((8 * -1 + 2x * -1) + 19x * (8 + 2x)) = 180
((-8 + -2x) + 19x * (8 + 2x)) = 180
(-8 + -2x + (8 * 19x + 2x * 19x)) = 180
(-8 + -2x + (152x + 38x2)) = 180

Combine like terms: -2x + 152x = 150x
(-8 + 150x + 38x2) = 180

Solving
-8 + 150x + 38x2 = 180

Solving for variable 'x'.

Reorder the terms:
-8 + -180 + 150x + 38x2 = 180 + -180

Combine like terms: -8 + -180 = -188
-188 + 150x + 38x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-188 + 150x + 38x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-94 + 75x + 19x2) = 0

Factor a trinomial.
2((-94 + -19x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-94 + -19x)' equal to zero and attempt to solve:

Simplifying
-94 + -19x = 0

Solving
-94 + -19x = 0

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

Add '94' to each side of the equation.
-94 + 94 + -19x = 0 + 94

Combine like terms: -94 + 94 = 0
0 + -19x = 0 + 94
-19x = 0 + 94

Combine like terms: 0 + 94 = 94
-19x = 94

Divide each side by '-19'.
x = -4.947368421

Simplifying
x = -4.947368421

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 = {-4.947368421, 1}

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