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Simplifying x(7x + -6) = 13 Reorder the terms: x(-6 + 7x) = 13 (-6 * x + 7x * x) = 13 (-6x + 7x2) = 13 Solving -6x + 7x2 = 13 Solving for variable 'x'. Reorder the terms: -13 + -6x + 7x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + -6x + 7x2 = 0 Factor a trinomial. (-1 + -1x)(13 + -7x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(13 + -7x)' equal to zero and attempt to solve: Simplifying 13 + -7x = 0 Solving 13 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 0 + -13 -7x = 0 + -13 Combine like terms: 0 + -13 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857Solution
x = {-1, 1.857142857}
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