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Simplifying 10x2 + 28x + -96 = 0 Reorder the terms: -96 + 28x + 10x2 = 0 Solving -96 + 28x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + 14x + 5x2) = 0 Factor a trinomial. 2((-24 + -5x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -5x)' equal to zero and attempt to solve: Simplifying -24 + -5x = 0 Solving -24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 0 + 24 -5x = 0 + 24 Combine like terms: 0 + 24 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8Subproblem 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 = {-4.8, 2}
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