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Simplifying 4x2 + -21 = -3x2 + -8x + -6 Reorder the terms: -21 + 4x2 = -3x2 + -8x + -6 Reorder the terms: -21 + 4x2 = -6 + -8x + -3x2 Solving -21 + 4x2 = -6 + -8x + -3x2 Solving for variable 'x'. Reorder the terms: -21 + 6 + 8x + 4x2 + 3x2 = -6 + -8x + -3x2 + 6 + 8x + 3x2 Combine like terms: -21 + 6 = -15 -15 + 8x + 4x2 + 3x2 = -6 + -8x + -3x2 + 6 + 8x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 -15 + 8x + 7x2 = -6 + -8x + -3x2 + 6 + 8x + 3x2 Reorder the terms: -15 + 8x + 7x2 = -6 + 6 + -8x + 8x + -3x2 + 3x2 Combine like terms: -6 + 6 = 0 -15 + 8x + 7x2 = 0 + -8x + 8x + -3x2 + 3x2 -15 + 8x + 7x2 = -8x + 8x + -3x2 + 3x2 Combine like terms: -8x + 8x = 0 -15 + 8x + 7x2 = 0 + -3x2 + 3x2 -15 + 8x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -15 + 8x + 7x2 = 0 Factor a trinomial. (-15 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-15 + -7x)' equal to zero and attempt to solve: Simplifying -15 + -7x = 0 Solving -15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143Subproblem 2
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 = 1Solution
x = {-2.142857143, 1}
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