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Simplifying 6x + 5 + 36x2 + -25 = 24x + -20 Reorder the terms: 5 + -25 + 6x + 36x2 = 24x + -20 Combine like terms: 5 + -25 = -20 -20 + 6x + 36x2 = 24x + -20 Reorder the terms: -20 + 6x + 36x2 = -20 + 24x Add '20' to each side of the equation. -20 + 6x + 20 + 36x2 = -20 + 20 + 24x Reorder the terms: -20 + 20 + 6x + 36x2 = -20 + 20 + 24x Combine like terms: -20 + 20 = 0 0 + 6x + 36x2 = -20 + 20 + 24x 6x + 36x2 = -20 + 20 + 24x Combine like terms: -20 + 20 = 0 6x + 36x2 = 0 + 24x 6x + 36x2 = 24x Solving 6x + 36x2 = 24x Solving for variable 'x'. Reorder the terms: 6x + -24x + 36x2 = 24x + -24x Combine like terms: 6x + -24x = -18x -18x + 36x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -18x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '18x'. 18x(-1 + 2x) = 0 Ignore the factor 18.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 '(-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 = 0.5Solution
x = {0, 0.5}
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