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Simplifying x2 + -15x = 3850 Reorder the terms: -15x + x2 = 3850 Solving -15x + x2 = 3850 Solving for variable 'x'. Reorder the terms: -3850 + -15x + x2 = 3850 + -3850 Combine like terms: 3850 + -3850 = 0 -3850 + -15x + x2 = 0 Factor a trinomial. (-55 + -1x)(70 + -1x) = 0Subproblem 1
Set the factor '(-55 + -1x)' equal to zero and attempt to solve: Simplifying -55 + -1x = 0 Solving -55 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -1x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = 0 + 55 -1x = 0 + 55 Combine like terms: 0 + 55 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55Subproblem 2
Set the factor '(70 + -1x)' equal to zero and attempt to solve: Simplifying 70 + -1x = 0 Solving 70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 0 + -70 -1x = 0 + -70 Combine like terms: 0 + -70 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70Solution
x = {-55, 70}
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