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Simplifying 4 = -40x2 + 28x Reorder the terms: 4 = 28x + -40x2 Solving 4 = 28x + -40x2 Solving for variable 'x'. Reorder the terms: 4 + -28x + 40x2 = 28x + -28x + -40x2 + 40x2 Combine like terms: 28x + -28x = 0 4 + -28x + 40x2 = 0 + -40x2 + 40x2 4 + -28x + 40x2 = -40x2 + 40x2 Combine like terms: -40x2 + 40x2 = 0 4 + -28x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -7x + 10x2) = 0 Factor a trinomial. 4((1 + -5x)(1 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.2, 0.5}
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