0=-2(8x^2+5x-42)

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Solution for 0=-2(8x^2+5x-42) equation: 


Simplifying
0 = -2(8x2 + 5x + -42)

Reorder the terms:
0 = -2(-42 + 5x + 8x2)
0 = (-42 * -2 + 5x * -2 + 8x2 * -2)
0 = (84 + -10x + -16x2)

Solving
0 = 84 + -10x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -84 = -84
-84 + 10x + 16x2 = 84 + -10x + -16x2 + -84 + 10x + 16x2

Reorder the terms:
-84 + 10x + 16x2 = 84 + -84 + -10x + 10x + -16x2 + 16x2

Combine like terms: 84 + -84 = 0
-84 + 10x + 16x2 = 0 + -10x + 10x + -16x2 + 16x2
-84 + 10x + 16x2 = -10x + 10x + -16x2 + 16x2

Combine like terms: -10x + 10x = 0
-84 + 10x + 16x2 = 0 + -16x2 + 16x2
-84 + 10x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-84 + 10x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-42 + 5x + 8x2) = 0

Factor a trinomial.
2((-21 + -8x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-21 + -8x)' equal to zero and attempt to solve:

Simplifying
-21 + -8x = 0

Solving
-21 + -8x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -8x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -8x = 0 + 21
-8x = 0 + 21

Combine like terms: 0 + 21 = 21
-8x = 21

Divide each side by '-8'.
x = -2.625

Simplifying
x = -2.625

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-2.625, 2}

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