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Simplifying 0 = 6x2 + -14x Reorder the terms: 0 = -14x + 6x2 Solving 0 = -14x + 6x2 Solving for variable 'x'. Remove the zero: 14x + -6x2 = -14x + 6x2 + 14x + -6x2 Reorder the terms: 14x + -6x2 = -14x + 14x + 6x2 + -6x2 Combine like terms: -14x + 14x = 0 14x + -6x2 = 0 + 6x2 + -6x2 14x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 14x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + -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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0, 2.333333333}
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