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Simplifying (4x2 + 2x + -4) + -1(5x + -4) = 0 Reorder the terms: (-4 + 2x + 4x2) + -1(5x + -4) = 0 Remove parenthesis around (-4 + 2x + 4x2) -4 + 2x + 4x2 + -1(5x + -4) = 0 Reorder the terms: -4 + 2x + 4x2 + -1(-4 + 5x) = 0 -4 + 2x + 4x2 + (-4 * -1 + 5x * -1) = 0 -4 + 2x + 4x2 + (4 + -5x) = 0 Reorder the terms: -4 + 4 + 2x + -5x + 4x2 = 0 Combine like terms: -4 + 4 = 0 0 + 2x + -5x + 4x2 = 0 2x + -5x + 4x2 = 0 Combine like terms: 2x + -5x = -3x -3x + 4x2 = 0 Solving -3x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 4x) = 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 '(-3 + 4x)' equal to zero and attempt to solve: Simplifying -3 + 4x = 0 Solving -3 + 4x = 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 + 4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 0 + 3 4x = 0 + 3 Combine like terms: 0 + 3 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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