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Simplifying 3x2 + -28x + 25 = -7 Reorder the terms: 25 + -28x + 3x2 = -7 Solving 25 + -28x + 3x2 = -7 Solving for variable 'x'. Reorder the terms: 25 + 7 + -28x + 3x2 = -7 + 7 Combine like terms: 25 + 7 = 32 32 + -28x + 3x2 = -7 + 7 Combine like terms: -7 + 7 = 0 32 + -28x + 3x2 = 0 Factor a trinomial. (4 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1.333333333, 8}
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