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Simplifying 7x2 + -3x = 160 Reorder the terms: -3x + 7x2 = 160 Solving -3x + 7x2 = 160 Solving for variable 'x'. Reorder the terms: -160 + -3x + 7x2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + -3x + 7x2 = 0 Factor a trinomial. (-32 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(-32 + -7x)' equal to zero and attempt to solve: Simplifying -32 + -7x = 0 Solving -32 + -7x = 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 + -7x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 0 + 32 -7x = 0 + 32 Combine like terms: 0 + 32 = 32 -7x = 32 Divide each side by '-7'. x = -4.571428571 Simplifying x = -4.571428571Subproblem 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 = {-4.571428571, 5}
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