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Simplifying -25 = 3 + -7x2 + 45x Reorder the terms: -25 = 3 + 45x + -7x2 Solving -25 = 3 + 45x + -7x2 Solving for variable 'x'. Combine like terms: -25 + -3 = -28 -28 + -45x + 7x2 = 3 + 45x + -7x2 + -3 + -45x + 7x2 Reorder the terms: -28 + -45x + 7x2 = 3 + -3 + 45x + -45x + -7x2 + 7x2 Combine like terms: 3 + -3 = 0 -28 + -45x + 7x2 = 0 + 45x + -45x + -7x2 + 7x2 -28 + -45x + 7x2 = 45x + -45x + -7x2 + 7x2 Combine like terms: 45x + -45x = 0 -28 + -45x + 7x2 = 0 + -7x2 + 7x2 -28 + -45x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -28 + -45x + 7x2 = 0 Factor a trinomial. (-4 + -7x)(7 + -1x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.5714285714, 7}
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