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Simplifying 18x3 + -8x = 7x2 Reorder the terms: -8x + 18x3 = 7x2 Solving -8x + 18x3 = 7x2 Solving for variable 'x'. Reorder the terms: -8x + -7x2 + 18x3 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8x + -7x2 + 18x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + -7x + 18x2) = 0 Factor a trinomial. x((-1 + -2x)(8 + -9x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {0, -0.5, 0.8888888889}
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