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Simplifying 25x2 + -10x(1 + -1x) + x2 + -4x(1 + -1x) = 0 25x2 + (1 * -10x + -1x * -10x) + x2 + -4x(1 + -1x) = 0 25x2 + (-10x + 10x2) + x2 + -4x(1 + -1x) = 0 25x2 + -10x + 10x2 + x2 + (1 * -4x + -1x * -4x) = 0 25x2 + -10x + 10x2 + x2 + (-4x + 4x2) = 0 Reorder the terms: -10x + -4x + 25x2 + 10x2 + x2 + 4x2 = 0 Combine like terms: -10x + -4x = -14x -14x + 25x2 + 10x2 + x2 + 4x2 = 0 Combine like terms: 25x2 + 10x2 = 35x2 -14x + 35x2 + x2 + 4x2 = 0 Combine like terms: 35x2 + x2 = 36x2 -14x + 36x2 + 4x2 = 0 Combine like terms: 36x2 + 4x2 = 40x2 -14x + 40x2 = 0 Solving -14x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-7 + 20x) = 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 + 20x)' equal to zero and attempt to solve: Simplifying -7 + 20x = 0 Solving -7 + 20x = 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 + 20x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 0 + 7 20x = 0 + 7 Combine like terms: 0 + 7 = 7 20x = 7 Divide each side by '20'. x = 0.35 Simplifying x = 0.35Solution
x = {0, 0.35}
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