0=8x^2+24x-560

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Solution for 0=8x^2+24x-560 equation: 


Simplifying
0 = 8x2 + 24x + -560

Reorder the terms:
0 = -560 + 24x + 8x2

Solving
0 = -560 + 24x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + 560 = 560
560 + -24x + -8x2 = -560 + 24x + 8x2 + 560 + -24x + -8x2

Reorder the terms:
560 + -24x + -8x2 = -560 + 560 + 24x + -24x + 8x2 + -8x2

Combine like terms: -560 + 560 = 0
560 + -24x + -8x2 = 0 + 24x + -24x + 8x2 + -8x2
560 + -24x + -8x2 = 24x + -24x + 8x2 + -8x2

Combine like terms: 24x + -24x = 0
560 + -24x + -8x2 = 0 + 8x2 + -8x2
560 + -24x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
560 + -24x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(70 + -3x + -1x2) = 0

Factor a trinomial.
8((7 + -1x)(10 + x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {7, -10}

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