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Simplifying 3x(x + -5) + 2x(x + 4) = 0 Reorder the terms: 3x(-5 + x) + 2x(x + 4) = 0 (-5 * 3x + x * 3x) + 2x(x + 4) = 0 (-15x + 3x2) + 2x(x + 4) = 0 Reorder the terms: -15x + 3x2 + 2x(4 + x) = 0 -15x + 3x2 + (4 * 2x + x * 2x) = 0 -15x + 3x2 + (8x + 2x2) = 0 Reorder the terms: -15x + 8x + 3x2 + 2x2 = 0 Combine like terms: -15x + 8x = -7x -7x + 3x2 + 2x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 -7x + 5x2 = 0 Solving -7x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 5x) = 0Subproblem 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 '(-7 + 5x)' equal to zero and attempt to solve: Simplifying -7 + 5x = 0 Solving -7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 0 + 7 5x = 0 + 7 Combine like terms: 0 + 7 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4Solution
x = {0, 1.4}
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