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Simplifying 10x2 = 24x + -8 Reorder the terms: 10x2 = -8 + 24x Solving 10x2 = -8 + 24x Solving for variable 'x'. Reorder the terms: 8 + -24x + 10x2 = -8 + 24x + 8 + -24x Reorder the terms: 8 + -24x + 10x2 = -8 + 8 + 24x + -24x Combine like terms: -8 + 8 = 0 8 + -24x + 10x2 = 0 + 24x + -24x 8 + -24x + 10x2 = 24x + -24x Combine like terms: 24x + -24x = 0 8 + -24x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -12x + 5x2) = 0 Factor a trinomial. 2((2 + -5x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.4, 2}
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