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Simplifying 2x2 + -7x + -1590 = 0 Reorder the terms: -1590 + -7x + 2x2 = 0 Solving -1590 + -7x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-53 + -2x)(30 + -1x) = 0Subproblem 1
Set the factor '(-53 + -2x)' equal to zero and attempt to solve: Simplifying -53 + -2x = 0 Solving -53 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -2x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -2x = 0 + 53 -2x = 0 + 53 Combine like terms: 0 + 53 = 53 -2x = 53 Divide each side by '-2'. x = -26.5 Simplifying x = -26.5Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-26.5, 30}
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