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Simplifying 16x2 + -30x = 3x + -6x2 Reorder the terms: -30x + 16x2 = 3x + -6x2 Solving -30x + 16x2 = 3x + -6x2 Solving for variable 'x'. Reorder the terms: -30x + -3x + 16x2 + 6x2 = 3x + -6x2 + -3x + 6x2 Combine like terms: -30x + -3x = -33x -33x + 16x2 + 6x2 = 3x + -6x2 + -3x + 6x2 Combine like terms: 16x2 + 6x2 = 22x2 -33x + 22x2 = 3x + -6x2 + -3x + 6x2 Reorder the terms: -33x + 22x2 = 3x + -3x + -6x2 + 6x2 Combine like terms: 3x + -3x = 0 -33x + 22x2 = 0 + -6x2 + 6x2 -33x + 22x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -33x + 22x2 = 0 Factor out the Greatest Common Factor (GCF), '11x'. 11x(-3 + 2x) = 0 Ignore the factor 11.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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