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Simplifying 6x2 + 34x + -320 = 0 Reorder the terms: -320 + 34x + 6x2 = 0 Solving -320 + 34x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-160 + 17x + 3x2) = 0 Factor a trinomial. 2((-32 + -3x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve: Simplifying -32 + -3x = 0 Solving -32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = 0 + 32 -3x = 0 + 32 Combine like terms: 0 + 32 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-10.66666667, 5}
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