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Simplifying 3x2 + -30x = -5x2 + -25 Reorder the terms: -30x + 3x2 = -5x2 + -25 Reorder the terms: -30x + 3x2 = -25 + -5x2 Solving -30x + 3x2 = -25 + -5x2 Solving for variable 'x'. Reorder the terms: 25 + -30x + 3x2 + 5x2 = -25 + -5x2 + 25 + 5x2 Combine like terms: 3x2 + 5x2 = 8x2 25 + -30x + 8x2 = -25 + -5x2 + 25 + 5x2 Reorder the terms: 25 + -30x + 8x2 = -25 + 25 + -5x2 + 5x2 Combine like terms: -25 + 25 = 0 25 + -30x + 8x2 = 0 + -5x2 + 5x2 25 + -30x + 8x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 25 + -30x + 8x2 = 0 Factor a trinomial. (5 + -4x)(5 + -2x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 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 = {1.25, 2.5}
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