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Simplifying 10x2 + -4x + -384 = 0 Reorder the terms: -384 + -4x + 10x2 = 0 Solving -384 + -4x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-192 + -2x + 5x2) = 0 Factor a trinomial. 2((-6 + -1x)(32 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(32 + -5x)' equal to zero and attempt to solve: Simplifying 32 + -5x = 0 Solving 32 + -5x = 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 + -5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 0 + -32 -5x = 0 + -32 Combine like terms: 0 + -32 = -32 -5x = -32 Divide each side by '-5'. x = 6.4 Simplifying x = 6.4Solution
x = {-6, 6.4}
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