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Simplifying 0 = 4x2 + 6x Reorder the terms: 0 = 6x + 4x2 Solving 0 = 6x + 4x2 Solving for variable 'x'. Remove the zero: -6x + -4x2 = 6x + 4x2 + -6x + -4x2 Reorder the terms: -6x + -4x2 = 6x + -6x + 4x2 + -4x2 Combine like terms: 6x + -6x = 0 -6x + -4x2 = 0 + 4x2 + -4x2 -6x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + 2x) = 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 '(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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