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Simplifying 6.25 = x2 + 3x + 2.25 Reorder the terms: 6.25 = 2.25 + 3x + x2 Solving 6.25 = 2.25 + 3x + x2 Solving for variable 'x'. Combine like terms: 6.25 + -2.25 = 4 4 + -3x + -1x2 = 2.25 + 3x + x2 + -2.25 + -3x + -1x2 Reorder the terms: 4 + -3x + -1x2 = 2.25 + -2.25 + 3x + -3x + x2 + -1x2 Combine like terms: 2.25 + -2.25 = 0.00 4 + -3x + -1x2 = 0.00 + 3x + -3x + x2 + -1x2 4 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 4 + -3x + -1x2 = 0 + x2 + -1x2 4 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -3x + -1x2 = 0 Factor a trinomial. (1 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {1, -4}
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