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Simplifying 4x2 + -16 = 30x Reorder the terms: -16 + 4x2 = 30x Solving -16 + 4x2 = 30x Solving for variable 'x'. Reorder the terms: -16 + -30x + 4x2 = 30x + -30x Combine like terms: 30x + -30x = 0 -16 + -30x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -15x + 2x2) = 0 Factor a trinomial. 2((-1 + -2x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-0.5, 8}
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