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Simplifying 8x2 + 7 = 36x + -9 Reorder the terms: 7 + 8x2 = 36x + -9 Reorder the terms: 7 + 8x2 = -9 + 36x Solving 7 + 8x2 = -9 + 36x Solving for variable 'x'. Reorder the terms: 7 + 9 + -36x + 8x2 = -9 + 36x + 9 + -36x Combine like terms: 7 + 9 = 16 16 + -36x + 8x2 = -9 + 36x + 9 + -36x Reorder the terms: 16 + -36x + 8x2 = -9 + 9 + 36x + -36x Combine like terms: -9 + 9 = 0 16 + -36x + 8x2 = 0 + 36x + -36x 16 + -36x + 8x2 = 36x + -36x Combine like terms: 36x + -36x = 0 16 + -36x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -9x + 2x2) = 0 Factor a trinomial. 4((1 + -2x)(4 + -1x)) = 0 Ignore the factor 4.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.5, 4}
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