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Simplifying 3x2 + -9x = 18x2 + -10x Reorder the terms: -9x + 3x2 = 18x2 + -10x Reorder the terms: -9x + 3x2 = -10x + 18x2 Solving -9x + 3x2 = -10x + 18x2 Solving for variable 'x'. Reorder the terms: -9x + 10x + 3x2 + -18x2 = -10x + 18x2 + 10x + -18x2 Combine like terms: -9x + 10x = 1x 1x + 3x2 + -18x2 = -10x + 18x2 + 10x + -18x2 Combine like terms: 3x2 + -18x2 = -15x2 1x + -15x2 = -10x + 18x2 + 10x + -18x2 Reorder the terms: 1x + -15x2 = -10x + 10x + 18x2 + -18x2 Combine like terms: -10x + 10x = 0 1x + -15x2 = 0 + 18x2 + -18x2 1x + -15x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 1x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -15x) = 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 + -15x)' equal to zero and attempt to solve: Simplifying 1 + -15x = 0 Solving 1 + -15x = 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 + -15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 0 + -1 -15x = 0 + -1 Combine like terms: 0 + -1 = -1 -15x = -1 Divide each side by '-15'. x = 0.06666666667 Simplifying x = 0.06666666667Solution
x = {0, 0.06666666667}
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