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Simplifying 7x2 + -21x = 13x2 + -22x Reorder the terms: -21x + 7x2 = 13x2 + -22x Reorder the terms: -21x + 7x2 = -22x + 13x2 Solving -21x + 7x2 = -22x + 13x2 Solving for variable 'x'. Reorder the terms: -21x + 22x + 7x2 + -13x2 = -22x + 13x2 + 22x + -13x2 Combine like terms: -21x + 22x = 1x 1x + 7x2 + -13x2 = -22x + 13x2 + 22x + -13x2 Combine like terms: 7x2 + -13x2 = -6x2 1x + -6x2 = -22x + 13x2 + 22x + -13x2 Reorder the terms: 1x + -6x2 = -22x + 22x + 13x2 + -13x2 Combine like terms: -22x + 22x = 0 1x + -6x2 = 0 + 13x2 + -13x2 1x + -6x2 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 1x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -6x) = 0Subproblem 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 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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