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Simplifying (4x2 + -4x + 1) + -3(2x + -1) + -4 = 0 Reorder the terms: (1 + -4x + 4x2) + -3(2x + -1) + -4 = 0 Remove parenthesis around (1 + -4x + 4x2) 1 + -4x + 4x2 + -3(2x + -1) + -4 = 0 Reorder the terms: 1 + -4x + 4x2 + -3(-1 + 2x) + -4 = 0 1 + -4x + 4x2 + (-1 * -3 + 2x * -3) + -4 = 0 1 + -4x + 4x2 + (3 + -6x) + -4 = 0 Reorder the terms: 1 + 3 + -4 + -4x + -6x + 4x2 = 0 Combine like terms: 1 + 3 = 4 4 + -4 + -4x + -6x + 4x2 = 0 Combine like terms: 4 + -4 = 0 0 + -4x + -6x + 4x2 = 0 -4x + -6x + 4x2 = 0 Combine like terms: -4x + -6x = -10x -10x + 4x2 = 0 Solving -10x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 2x) = 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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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