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Simplifying 6x2 + -10x = 16 Reorder the terms: -10x + 6x2 = 16 Solving -10x + 6x2 = 16 Solving for variable 'x'. Reorder the terms: -16 + -10x + 6x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -5x + 3x2) = 0 Factor a trinomial. 2((-1 + -1x)(8 + -3x)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-1, 2.666666667}
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