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Simplifying 3x2 + -21x = -2x2 + -9x + -7 Reorder the terms: -21x + 3x2 = -2x2 + -9x + -7 Reorder the terms: -21x + 3x2 = -7 + -9x + -2x2 Solving -21x + 3x2 = -7 + -9x + -2x2 Solving for variable 'x'. Reorder the terms: 7 + -21x + 9x + 3x2 + 2x2 = -7 + -9x + -2x2 + 7 + 9x + 2x2 Combine like terms: -21x + 9x = -12x 7 + -12x + 3x2 + 2x2 = -7 + -9x + -2x2 + 7 + 9x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 7 + -12x + 5x2 = -7 + -9x + -2x2 + 7 + 9x + 2x2 Reorder the terms: 7 + -12x + 5x2 = -7 + 7 + -9x + 9x + -2x2 + 2x2 Combine like terms: -7 + 7 = 0 7 + -12x + 5x2 = 0 + -9x + 9x + -2x2 + 2x2 7 + -12x + 5x2 = -9x + 9x + -2x2 + 2x2 Combine like terms: -9x + 9x = 0 7 + -12x + 5x2 = 0 + -2x2 + 2x2 7 + -12x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 7 + -12x + 5x2 = 0 Factor a trinomial. (1 + -1x)(7 + -5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {1, 1.4}
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