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Simplifying 0 = -6x2 + -7x + 10 Reorder the terms: 0 = 10 + -7x + -6x2 Solving 0 = 10 + -7x + -6x2 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + 7x + 6x2 = 10 + -7x + -6x2 + -10 + 7x + 6x2 Reorder the terms: -10 + 7x + 6x2 = 10 + -10 + -7x + 7x + -6x2 + 6x2 Combine like terms: 10 + -10 = 0 -10 + 7x + 6x2 = 0 + -7x + 7x + -6x2 + 6x2 -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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