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Simplifying 6x2 + -44 = -10x Reorder the terms: -44 + 6x2 = -10x Solving -44 + 6x2 = -10x Solving for variable 'x'. Reorder the terms: -44 + 10x + 6x2 = -10x + 10x Combine like terms: -10x + 10x = 0 -44 + 10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + 5x + 3x2) = 0 Factor a trinomial. 2((-11 + -3x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 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 = {-3.666666667, 2}
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