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Simplifying 25x2 + -8x + 4 = -28x Reorder the terms: 4 + -8x + 25x2 = -28x Solving 4 + -8x + 25x2 = -28x Solving for variable 'x'. Reorder the terms: 4 + -8x + 28x + 25x2 = -28x + 28x Combine like terms: -8x + 28x = 20x 4 + 20x + 25x2 = -28x + 28x Combine like terms: -28x + 28x = 0 4 + 20x + 25x2 = 0 Factor a trinomial. (2 + 5x)(2 + 5x) = 0Subproblem 1
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-0.4, -0.4}
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