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Simplifying 39 = 100x2 + 100x Reorder the terms: 39 = 100x + 100x2 Solving 39 = 100x + 100x2 Solving for variable 'x'. Reorder the terms: 39 + -100x + -100x2 = 100x + -100x + 100x2 + -100x2 Combine like terms: 100x + -100x = 0 39 + -100x + -100x2 = 0 + 100x2 + -100x2 39 + -100x + -100x2 = 100x2 + -100x2 Combine like terms: 100x2 + -100x2 = 0 39 + -100x + -100x2 = 0 Factor a trinomial. (3 + -10x)(13 + 10x) = 0Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve: Simplifying 3 + -10x = 0 Solving 3 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 0 + -3 -10x = 0 + -3 Combine like terms: 0 + -3 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3Subproblem 2
Set the factor '(13 + 10x)' equal to zero and attempt to solve: Simplifying 13 + 10x = 0 Solving 13 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 0 + -13 10x = 0 + -13 Combine like terms: 0 + -13 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3Solution
x = {0.3, -1.3}
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