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Simplifying 3x2 + -21x = -2x2 + -7x + -8 Reorder the terms: -21x + 3x2 = -2x2 + -7x + -8 Reorder the terms: -21x + 3x2 = -8 + -7x + -2x2 Solving -21x + 3x2 = -8 + -7x + -2x2 Solving for variable 'x'. Reorder the terms: 8 + -21x + 7x + 3x2 + 2x2 = -8 + -7x + -2x2 + 8 + 7x + 2x2 Combine like terms: -21x + 7x = -14x 8 + -14x + 3x2 + 2x2 = -8 + -7x + -2x2 + 8 + 7x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 8 + -14x + 5x2 = -8 + -7x + -2x2 + 8 + 7x + 2x2 Reorder the terms: 8 + -14x + 5x2 = -8 + 8 + -7x + 7x + -2x2 + 2x2 Combine like terms: -8 + 8 = 0 8 + -14x + 5x2 = 0 + -7x + 7x + -2x2 + 2x2 8 + -14x + 5x2 = -7x + 7x + -2x2 + 2x2 Combine like terms: -7x + 7x = 0 8 + -14x + 5x2 = 0 + -2x2 + 2x2 8 + -14x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 8 + -14x + 5x2 = 0 Factor a trinomial. (4 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.8, 2}
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