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Simplifying 56x2 = -15x + -1 Reorder the terms: 56x2 = -1 + -15x Solving 56x2 = -1 + -15x Solving for variable 'x'. Reorder the terms: 1 + 15x + 56x2 = -1 + -15x + 1 + 15x Reorder the terms: 1 + 15x + 56x2 = -1 + 1 + -15x + 15x Combine like terms: -1 + 1 = 0 1 + 15x + 56x2 = 0 + -15x + 15x 1 + 15x + 56x2 = -15x + 15x Combine like terms: -15x + 15x = 0 1 + 15x + 56x2 = 0 Factor a trinomial. (1 + 7x)(1 + 8x) = 0Subproblem 1
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-0.1428571429, -0.125}
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