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Simplifying 4x2 + 10x = 3x2 + -25 Reorder the terms: 10x + 4x2 = 3x2 + -25 Reorder the terms: 10x + 4x2 = -25 + 3x2 Solving 10x + 4x2 = -25 + 3x2 Solving for variable 'x'. Reorder the terms: 25 + 10x + 4x2 + -3x2 = -25 + 3x2 + 25 + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 25 + 10x + 1x2 = -25 + 3x2 + 25 + -3x2 Reorder the terms: 25 + 10x + 1x2 = -25 + 25 + 3x2 + -3x2 Combine like terms: -25 + 25 = 0 25 + 10x + 1x2 = 0 + 3x2 + -3x2 25 + 10x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 25 + 10x + 1x2 = 0 Factor a trinomial. (5 + x)(5 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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