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Simplifying 10x2 + 5x = 50 Reorder the terms: 5x + 10x2 = 50 Solving 5x + 10x2 = 50 Solving for variable 'x'. Reorder the terms: -50 + 5x + 10x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 5x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + x + 2x2) = 0 Factor a trinomial. 5((-5 + -2x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, 2}
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