56x^2+8x-64=0

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Solution for 56x^2+8x-64=0 equation:


Simplifying
56x2 + 8x + -64 = 0

Reorder the terms:
-64 + 8x + 56x2 = 0

Solving
-64 + 8x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-8 + x + 7x2) = 0

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

Ignore the factor 8.

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

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 = {-1.142857143, 1}

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