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Simplifying 100x2 = -60x + -9 Reorder the terms: 100x2 = -9 + -60x Solving 100x2 = -9 + -60x Solving for variable 'x'. Reorder the terms: 9 + 60x + 100x2 = -9 + -60x + 9 + 60x Reorder the terms: 9 + 60x + 100x2 = -9 + 9 + -60x + 60x Combine like terms: -9 + 9 = 0 9 + 60x + 100x2 = 0 + -60x + 60x 9 + 60x + 100x2 = -60x + 60x Combine like terms: -60x + 60x = 0 9 + 60x + 100x2 = 0 Factor a trinomial. (3 + 10x)(3 + 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 '(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 = -0.3Solution
x = {-0.3, -0.3}
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