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Simplifying 0 = -5x2 + -32x + 21 Reorder the terms: 0 = 21 + -32x + -5x2 Solving 0 = 21 + -32x + -5x2 Solving for variable 'x'. Combine like terms: 0 + -21 = -21 -21 + 32x + 5x2 = 21 + -32x + -5x2 + -21 + 32x + 5x2 Reorder the terms: -21 + 32x + 5x2 = 21 + -21 + -32x + 32x + -5x2 + 5x2 Combine like terms: 21 + -21 = 0 -21 + 32x + 5x2 = 0 + -32x + 32x + -5x2 + 5x2 -21 + 32x + 5x2 = -32x + 32x + -5x2 + 5x2 Combine like terms: -32x + 32x = 0 -21 + 32x + 5x2 = 0 + -5x2 + 5x2 -21 + 32x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -21 + 32x + 5x2 = 0 Factor a trinomial. (-7 + -1x)(3 + -5x) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-7, 0.6}
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