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Simplifying 4x2 + -75x + 225 = 0 Reorder the terms: 225 + -75x + 4x2 = 0 Solving 225 + -75x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + -4x)(15 + -1x) = 0Subproblem 1
Set the factor '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {3.75, 15}
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