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Simplifying 8x2 + -22x = 2x + -28x2 Reorder the terms: -22x + 8x2 = 2x + -28x2 Solving -22x + 8x2 = 2x + -28x2 Solving for variable 'x'. Reorder the terms: -22x + -2x + 8x2 + 28x2 = 2x + -28x2 + -2x + 28x2 Combine like terms: -22x + -2x = -24x -24x + 8x2 + 28x2 = 2x + -28x2 + -2x + 28x2 Combine like terms: 8x2 + 28x2 = 36x2 -24x + 36x2 = 2x + -28x2 + -2x + 28x2 Reorder the terms: -24x + 36x2 = 2x + -2x + -28x2 + 28x2 Combine like terms: 2x + -2x = 0 -24x + 36x2 = 0 + -28x2 + 28x2 -24x + 36x2 = -28x2 + 28x2 Combine like terms: -28x2 + 28x2 = 0 -24x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-2 + 3x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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