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Simplifying 5x2 + 33x + 27 = x + -8 Reorder the terms: 27 + 33x + 5x2 = x + -8 Reorder the terms: 27 + 33x + 5x2 = -8 + x Solving 27 + 33x + 5x2 = -8 + x Solving for variable 'x'. Reorder the terms: 27 + 8 + 33x + -1x + 5x2 = -8 + x + 8 + -1x Combine like terms: 27 + 8 = 35 35 + 33x + -1x + 5x2 = -8 + x + 8 + -1x Combine like terms: 33x + -1x = 32x 35 + 32x + 5x2 = -8 + x + 8 + -1x Reorder the terms: 35 + 32x + 5x2 = -8 + 8 + x + -1x Combine like terms: -8 + 8 = 0 35 + 32x + 5x2 = 0 + x + -1x 35 + 32x + 5x2 = x + -1x Combine like terms: x + -1x = 0 35 + 32x + 5x2 = 0 Factor a trinomial. (5 + x)(7 + 5x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {-5, -1.4}
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