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Simplifying 4x2 + -24x = -2x2 + -7x + -10 Reorder the terms: -24x + 4x2 = -2x2 + -7x + -10 Reorder the terms: -24x + 4x2 = -10 + -7x + -2x2 Solving -24x + 4x2 = -10 + -7x + -2x2 Solving for variable 'x'. Reorder the terms: 10 + -24x + 7x + 4x2 + 2x2 = -10 + -7x + -2x2 + 10 + 7x + 2x2 Combine like terms: -24x + 7x = -17x 10 + -17x + 4x2 + 2x2 = -10 + -7x + -2x2 + 10 + 7x + 2x2 Combine like terms: 4x2 + 2x2 = 6x2 10 + -17x + 6x2 = -10 + -7x + -2x2 + 10 + 7x + 2x2 Reorder the terms: 10 + -17x + 6x2 = -10 + 10 + -7x + 7x + -2x2 + 2x2 Combine like terms: -10 + 10 = 0 10 + -17x + 6x2 = 0 + -7x + 7x + -2x2 + 2x2 10 + -17x + 6x2 = -7x + 7x + -2x2 + 2x2 Combine like terms: -7x + 7x = 0 10 + -17x + 6x2 = 0 + -2x2 + 2x2 10 + -17x + 6x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 10 + -17x + 6x2 = 0 Factor a trinomial. (5 + -6x)(2 + -1x) = 0Subproblem 1
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 = 0.8333333333Subproblem 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 = {0.8333333333, 2}
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