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Simplifying 225x2 + -120x = -16 Reorder the terms: -120x + 225x2 = -16 Solving -120x + 225x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + -120x + 225x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -120x + 225x2 = 0 Factor a trinomial. (4 + -15x)(4 + -15x) = 0Subproblem 1
Set the factor '(4 + -15x)' equal to zero and attempt to solve: Simplifying 4 + -15x = 0 Solving 4 + -15x = 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 + -15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = 0 + -4 -15x = 0 + -4 Combine like terms: 0 + -4 = -4 -15x = -4 Divide each side by '-15'. x = 0.2666666667 Simplifying x = 0.2666666667Subproblem 2
Set the factor '(4 + -15x)' equal to zero and attempt to solve: Simplifying 4 + -15x = 0 Solving 4 + -15x = 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 + -15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = 0 + -4 -15x = 0 + -4 Combine like terms: 0 + -4 = -4 -15x = -4 Divide each side by '-15'. x = 0.2666666667 Simplifying x = 0.2666666667Solution
x = {0.2666666667, 0.2666666667}
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