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Simplifying 6x3 = -22x + 28x2 Solving 6x3 = -22x + 28x2 Solving for variable 'x'. Reorder the terms: 22x + -28x2 + 6x3 = -22x + 28x2 + 22x + -28x2 Reorder the terms: 22x + -28x2 + 6x3 = -22x + 22x + 28x2 + -28x2 Combine like terms: -22x + 22x = 0 22x + -28x2 + 6x3 = 0 + 28x2 + -28x2 22x + -28x2 + 6x3 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 22x + -28x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + -14x + 3x2) = 0 Factor a trinomial. 2x((1 + -1x)(11 + -3x)) = 0 Ignore the factor 2.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 '(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 3
Set the factor '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {0, 1, 3.666666667}
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