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Simplifying 6x2 + 10x + -1696 = 0 Reorder the terms: -1696 + 10x + 6x2 = 0 Solving -1696 + 10x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-848 + 5x + 3x2) = 0 Factor a trinomial. 2((-53 + -3x)(16 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-53 + -3x)' equal to zero and attempt to solve: Simplifying -53 + -3x = 0 Solving -53 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -3x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -3x = 0 + 53 -3x = 0 + 53 Combine like terms: 0 + 53 = 53 -3x = 53 Divide each side by '-3'. x = -17.66666667 Simplifying x = -17.66666667Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-17.66666667, 16}
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