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Simplifying (3x)(3x) + -13x = 10 Remove parenthesis around (3x) 3x(3x) + -13x = 10 Remove parenthesis around (3x) 3x * 3x + -13x = 10 Reorder the terms for easier multiplication: 3 * 3x * x + -13x = 10 Multiply 3 * 3 9x * x + -13x = 10 Multiply x * x 9x2 + -13x = 10 Reorder the terms: -13x + 9x2 = 10 Solving -13x + 9x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + -13x + 9x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -13x + 9x2 = 0 Factor a trinomial. (-5 + -9x)(2 + -1x) = 0Subproblem 1
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 = -0.5555555556Subproblem 2
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 = 2Solution
x = {-0.5555555556, 2}
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