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Simplifying (3x)(3x) + 13x + -10 = 0 Remove parenthesis around (3x) 3x(3x) + 13x + -10 = 0 Remove parenthesis around (3x) 3x * 3x + 13x + -10 = 0 Reorder the terms for easier multiplication: 3 * 3x * x + 13x + -10 = 0 Multiply 3 * 3 9x * x + 13x + -10 = 0 Multiply x * x 9x2 + 13x + -10 = 0 Reorder the terms: -10 + 13x + 9x2 = 0 Solving -10 + 13x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(5 + -9x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {-2, 0.5555555556}
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