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Simplifying 6x2 + -5x + -25 = 525 Reorder the terms: -25 + -5x + 6x2 = 525 Solving -25 + -5x + 6x2 = 525 Solving for variable 'x'. Reorder the terms: -25 + -525 + -5x + 6x2 = 525 + -525 Combine like terms: -25 + -525 = -550 -550 + -5x + 6x2 = 525 + -525 Combine like terms: 525 + -525 = 0 -550 + -5x + 6x2 = 0 Factor a trinomial. (-55 + -6x)(10 + -1x) = 0Subproblem 1
Set the factor '(-55 + -6x)' equal to zero and attempt to solve: Simplifying -55 + -6x = 0 Solving -55 + -6x = 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 + -6x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -6x = 0 + 55 -6x = 0 + 55 Combine like terms: 0 + 55 = 55 -6x = 55 Divide each side by '-6'. x = -9.166666667 Simplifying x = -9.166666667Subproblem 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 = {-9.166666667, 10}
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