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Simplifying 9x2 = 60x + -100 Reorder the terms: 9x2 = -100 + 60x Solving 9x2 = -100 + 60x Solving for variable 'x'. Reorder the terms: 100 + -60x + 9x2 = -100 + 60x + 100 + -60x Reorder the terms: 100 + -60x + 9x2 = -100 + 100 + 60x + -60x Combine like terms: -100 + 100 = 0 100 + -60x + 9x2 = 0 + 60x + -60x 100 + -60x + 9x2 = 60x + -60x Combine like terms: 60x + -60x = 0 100 + -60x + 9x2 = 0 Factor a trinomial. (10 + -3x)(10 + -3x) = 0Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {3.333333333, 3.333333333}
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