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Simplifying 4x2 = 32x + 225 Reorder the terms: 4x2 = 225 + 32x Solving 4x2 = 225 + 32x Solving for variable 'x'. Reorder the terms: -225 + -32x + 4x2 = 225 + 32x + -225 + -32x Reorder the terms: -225 + -32x + 4x2 = 225 + -225 + 32x + -32x Combine like terms: 225 + -225 = 0 -225 + -32x + 4x2 = 0 + 32x + -32x -225 + -32x + 4x2 = 32x + -32x Combine like terms: 32x + -32x = 0 -225 + -32x + 4x2 = 0 Factor a trinomial. (-9 + -2x)(25 + -2x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5Solution
x = {-4.5, 12.5}
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