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Simplifying 0 = 4x2 + 3x(-9x + 6) Reorder the terms: 0 = 4x2 + 3x(6 + -9x) 0 = 4x2 + (6 * 3x + -9x * 3x) 0 = 4x2 + (18x + -27x2) Reorder the terms: 0 = 18x + 4x2 + -27x2 Combine like terms: 4x2 + -27x2 = -23x2 0 = 18x + -23x2 Solving 0 = 18x + -23x2 Solving for variable 'x'. Remove the zero: -18x + 23x2 = 18x + -23x2 + -18x + 23x2 Reorder the terms: -18x + 23x2 = 18x + -18x + -23x2 + 23x2 Combine like terms: 18x + -18x = 0 -18x + 23x2 = 0 + -23x2 + 23x2 -18x + 23x2 = -23x2 + 23x2 Combine like terms: -23x2 + 23x2 = 0 -18x + 23x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-18 + 23x) = 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 '(-18 + 23x)' equal to zero and attempt to solve: Simplifying -18 + 23x = 0 Solving -18 + 23x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 23x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 23x = 0 + 18 23x = 0 + 18 Combine like terms: 0 + 18 = 18 23x = 18 Divide each side by '23'. x = 0.7826086957 Simplifying x = 0.7826086957Solution
x = {0, 0.7826086957}
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