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Simplifying 10x2 + -49x + -96 = 0 Reorder the terms: -96 + -49x + 10x2 = 0 Solving -96 + -49x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(32 + -5x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, 6.4}
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