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Simplifying 5x2 + -8x + 3x(x + -2) = 0 Reorder the terms: 5x2 + -8x + 3x(-2 + x) = 0 5x2 + -8x + (-2 * 3x + x * 3x) = 0 5x2 + -8x + (-6x + 3x2) = 0 Reorder the terms: -8x + -6x + 5x2 + 3x2 = 0 Combine like terms: -8x + -6x = -14x -14x + 5x2 + 3x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 -14x + 8x2 = 0 Solving -14x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-7 + 4x) = 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 '(-7 + 4x)' equal to zero and attempt to solve: Simplifying -7 + 4x = 0 Solving -7 + 4x = 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 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
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