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Simplifying 18x2 + -23x = 13x + -27x2 Reorder the terms: -23x + 18x2 = 13x + -27x2 Solving -23x + 18x2 = 13x + -27x2 Solving for variable 'x'. Reorder the terms: -23x + -13x + 18x2 + 27x2 = 13x + -27x2 + -13x + 27x2 Combine like terms: -23x + -13x = -36x -36x + 18x2 + 27x2 = 13x + -27x2 + -13x + 27x2 Combine like terms: 18x2 + 27x2 = 45x2 -36x + 45x2 = 13x + -27x2 + -13x + 27x2 Reorder the terms: -36x + 45x2 = 13x + -13x + -27x2 + 27x2 Combine like terms: 13x + -13x = 0 -36x + 45x2 = 0 + -27x2 + 27x2 -36x + 45x2 = -27x2 + 27x2 Combine like terms: -27x2 + 27x2 = 0 -36x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '9x'. 9x(-4 + 5x) = 0 Ignore the factor 9.Subproblem 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 '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 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 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, 0.8}
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