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Simplifying 4x2 + 10x = -10x + -25 Reorder the terms: 10x + 4x2 = -10x + -25 Reorder the terms: 10x + 4x2 = -25 + -10x Solving 10x + 4x2 = -25 + -10x Solving for variable 'x'. Reorder the terms: 25 + 10x + 10x + 4x2 = -25 + -10x + 25 + 10x Combine like terms: 10x + 10x = 20x 25 + 20x + 4x2 = -25 + -10x + 25 + 10x Reorder the terms: 25 + 20x + 4x2 = -25 + 25 + -10x + 10x Combine like terms: -25 + 25 = 0 25 + 20x + 4x2 = 0 + -10x + 10x 25 + 20x + 4x2 = -10x + 10x Combine like terms: -10x + 10x = 0 25 + 20x + 4x2 = 0 Factor a trinomial. (5 + 2x)(5 + 2x) = 0Subproblem 1
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 = -2.5Subproblem 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 = {-2.5, -2.5}
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