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Simplifying 10x2 + 210 = 100x + -40 Reorder the terms: 210 + 10x2 = 100x + -40 Reorder the terms: 210 + 10x2 = -40 + 100x Solving 210 + 10x2 = -40 + 100x Solving for variable 'x'. Reorder the terms: 210 + 40 + -100x + 10x2 = -40 + 100x + 40 + -100x Combine like terms: 210 + 40 = 250 250 + -100x + 10x2 = -40 + 100x + 40 + -100x Reorder the terms: 250 + -100x + 10x2 = -40 + 40 + 100x + -100x Combine like terms: -40 + 40 = 0 250 + -100x + 10x2 = 0 + 100x + -100x 250 + -100x + 10x2 = 100x + -100x Combine like terms: 100x + -100x = 0 250 + -100x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(25 + -10x + x2) = 0 Factor a trinomial. 10((5 + -1x)(5 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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