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Simplifying 0 = 14x2 + -21x Reorder the terms: 0 = -21x + 14x2 Solving 0 = -21x + 14x2 Solving for variable 'x'. Remove the zero: 21x + -14x2 = -21x + 14x2 + 21x + -14x2 Reorder the terms: 21x + -14x2 = -21x + 21x + 14x2 + -14x2 Combine like terms: -21x + 21x = 0 21x + -14x2 = 0 + 14x2 + -14x2 21x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 21x + -14x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(3 + -2x) = 0 Ignore the factor 7.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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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