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Simplifying 2x(4x + -5) + 5x = 7x Reorder the terms: 2x(-5 + 4x) + 5x = 7x (-5 * 2x + 4x * 2x) + 5x = 7x (-10x + 8x2) + 5x = 7x Reorder the terms: -10x + 5x + 8x2 = 7x Combine like terms: -10x + 5x = -5x -5x + 8x2 = 7x Solving -5x + 8x2 = 7x Solving for variable 'x'. Reorder the terms: -5x + -7x + 8x2 = 7x + -7x Combine like terms: -5x + -7x = -12x -12x + 8x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -12x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-3 + 2x) = 0 Ignore the factor 4.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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