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Simplifying 16x2 + -120x + 225 = 2x Reorder the terms: 225 + -120x + 16x2 = 2x Solving 225 + -120x + 16x2 = 2x Solving for variable 'x'. Reorder the terms: 225 + -120x + -2x + 16x2 = 2x + -2x Combine like terms: -120x + -2x = -122x 225 + -122x + 16x2 = 2x + -2x Combine like terms: 2x + -2x = 0 225 + -122x + 16x2 = 0 Factor a trinomial. (25 + -8x)(9 + -2x) = 0Subproblem 1
Set the factor '(25 + -8x)' equal to zero and attempt to solve: Simplifying 25 + -8x = 0 Solving 25 + -8x = 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 + -8x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = 0 + -25 -8x = 0 + -25 Combine like terms: 0 + -25 = -25 -8x = -25 Divide each side by '-8'. x = 3.125 Simplifying x = 3.125Subproblem 2
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 = 4.5Solution
x = {3.125, 4.5}
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