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Simplifying 0 = 29x2 + -18x Reorder the terms: 0 = -18x + 29x2 Solving 0 = -18x + 29x2 Solving for variable 'x'. Remove the zero: 18x + -29x2 = -18x + 29x2 + 18x + -29x2 Reorder the terms: 18x + -29x2 = -18x + 18x + 29x2 + -29x2 Combine like terms: -18x + 18x = 0 18x + -29x2 = 0 + 29x2 + -29x2 18x + -29x2 = 29x2 + -29x2 Combine like terms: 29x2 + -29x2 = 0 18x + -29x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(18 + -29x) = 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 + -29x)' equal to zero and attempt to solve: Simplifying 18 + -29x = 0 Solving 18 + -29x = 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 + -29x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -29x = 0 + -18 -29x = 0 + -18 Combine like terms: 0 + -18 = -18 -29x = -18 Divide each side by '-29'. x = 0.6206896552 Simplifying x = 0.6206896552Solution
x = {0, 0.6206896552}
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