56x^2+113x+56=0

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Solution for 56x^2+113x+56=0 equation:


Simplifying
56x2 + 113x + 56 = 0

Reorder the terms:
56 + 113x + 56x2 = 0

Solving
56 + 113x + 56x2 = 0

Solving for variable 'x'.

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

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 '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Solution

x = {-1.142857143, -0.875}

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