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Simplifying -8x2 + -30x = 7 Reorder the terms: -30x + -8x2 = 7 Solving -30x + -8x2 = 7 Solving for variable 'x'. Reorder the terms: -7 + -30x + -8x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -30x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 30x + 8x2) = 0 Factor a trinomial. -1((7 + 2x)(1 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-3.5, -0.25}
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