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Simplifying 196x2 + -56x + 4 = x2 + 4x + 4 Reorder the terms: 4 + -56x + 196x2 = x2 + 4x + 4 Reorder the terms: 4 + -56x + 196x2 = 4 + 4x + x2 Add '-4' to each side of the equation. 4 + -56x + -4 + 196x2 = 4 + 4x + -4 + x2 Reorder the terms: 4 + -4 + -56x + 196x2 = 4 + 4x + -4 + x2 Combine like terms: 4 + -4 = 0 0 + -56x + 196x2 = 4 + 4x + -4 + x2 -56x + 196x2 = 4 + 4x + -4 + x2 Reorder the terms: -56x + 196x2 = 4 + -4 + 4x + x2 Combine like terms: 4 + -4 = 0 -56x + 196x2 = 0 + 4x + x2 -56x + 196x2 = 4x + x2 Solving -56x + 196x2 = 4x + x2 Solving for variable 'x'. Reorder the terms: -56x + -4x + 196x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: -56x + -4x = -60x -60x + 196x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: 196x2 + -1x2 = 195x2 -60x + 195x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -60x + 195x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -60x + 195x2 = 0 + x2 + -1x2 -60x + 195x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -60x + 195x2 = 0 Factor out the Greatest Common Factor (GCF), '15x'. 15x(-4 + 13x) = 0 Ignore the factor 15.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 '(-4 + 13x)' equal to zero and attempt to solve: Simplifying -4 + 13x = 0 Solving -4 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 13x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 0 + 4 13x = 0 + 4 Combine like terms: 0 + 4 = 4 13x = 4 Divide each side by '13'. x = 0.3076923077 Simplifying x = 0.3076923077Solution
x = {0, 0.3076923077}
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