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Simplifying 0 = 4x2 + -65x + 225 Reorder the terms: 0 = 225 + -65x + 4x2 Solving 0 = 225 + -65x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -225 = -225 -225 + 65x + -4x2 = 225 + -65x + 4x2 + -225 + 65x + -4x2 Reorder the terms: -225 + 65x + -4x2 = 225 + -225 + -65x + 65x + 4x2 + -4x2 Combine like terms: 225 + -225 = 0 -225 + 65x + -4x2 = 0 + -65x + 65x + 4x2 + -4x2 -225 + 65x + -4x2 = -65x + 65x + 4x2 + -4x2 Combine like terms: -65x + 65x = 0 -225 + 65x + -4x2 = 0 + 4x2 + -4x2 -225 + 65x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -225 + 65x + -4x2 = 0 Factor a trinomial. (-45 + 4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-45 + 4x)' equal to zero and attempt to solve: Simplifying -45 + 4x = 0 Solving -45 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 4x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = 0 + 45 4x = 0 + 45 Combine like terms: 0 + 45 = 45 4x = 45 Divide each side by '4'. x = 11.25 Simplifying x = 11.25Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {11.25, 5}
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