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Simplifying 10 = x(6x + -7) Reorder the terms: 10 = x(-7 + 6x) 10 = (-7 * x + 6x * x) 10 = (-7x + 6x2) Solving 10 = -7x + 6x2 Solving for variable 'x'. Reorder the terms: 10 + 7x + -6x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 10 + 7x + -6x2 = 0 + 6x2 + -6x2 10 + 7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 10 + 7x + -6x2 = 0 Factor a trinomial. (2 + -1x)(5 + 6x) = 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 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {2, -0.8333333333}
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