6x^2+16x-56=0

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Solution for 6x^2+16x-56=0 equation:


Simplifying
6x2 + 16x + -56 = 0

Reorder the terms:
-56 + 16x + 6x2 = 0

Solving
-56 + 16x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 8x + 3x2) = 0

Factor a trinomial.
2((-14 + -3x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-14 + -3x)' equal to zero and attempt to solve: Simplifying -14 + -3x = 0 Solving -14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 0 + 14 -3x = 0 + 14 Combine like terms: 0 + 14 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667

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 = {-4.666666667, 2}

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