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Simplifying 7x2 + -16x + -540 = 0 Reorder the terms: -540 + -16x + 7x2 = 0 Solving -540 + -16x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-54 + -7x)(10 + -1x) = 0Subproblem 1
Set the factor '(-54 + -7x)' equal to zero and attempt to solve: Simplifying -54 + -7x = 0 Solving -54 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -7x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -7x = 0 + 54 -7x = 0 + 54 Combine like terms: 0 + 54 = 54 -7x = 54 Divide each side by '-7'. x = -7.714285714 Simplifying x = -7.714285714Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-7.714285714, 10}
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