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Simplifying 91x2 + 2x = 45 Reorder the terms: 2x + 91x2 = 45 Solving 2x + 91x2 = 45 Solving for variable 'x'. Reorder the terms: -45 + 2x + 91x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 2x + 91x2 = 0 Factor a trinomial. (-5 + -7x)(9 + -13x) = 0Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 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 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(9 + -13x)' equal to zero and attempt to solve: Simplifying 9 + -13x = 0 Solving 9 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -13x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 0 + -9 -13x = 0 + -9 Combine like terms: 0 + -9 = -9 -13x = -9 Divide each side by '-13'. x = 0.6923076923 Simplifying x = 0.6923076923Solution
x = {-0.7142857143, 0.6923076923}
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