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Simplifying (100x2) + -1(60x) + (9) = 0 Remove parenthesis around (60x) (100x2) + -1 * 60x + (9) = 0 Multiply -1 * 60 (100x2) + -60x + (9) = 0 (100x2) + -60x + 9 = 0 Reorder the terms: 9 + -60x + (100x2) = 0 Solving 9 + -60x + (100x2) = 0 Solving for variable 'x'. 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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