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Simplifying (2x)(2x) + -6x = 0 Remove parenthesis around (2x) 2x(2x) + -6x = 0 Remove parenthesis around (2x) 2x * 2x + -6x = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -6x = 0 Multiply 2 * 2 4x * x + -6x = 0 Multiply x * x 4x2 + -6x = 0 Reorder the terms: -6x + 4x2 = 0 Solving -6x + 4x2 = 0 Solving for variable 'x'. 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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