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Simplifying 4x2 = 65 + 16x Solving 4x2 = 65 + 16x Solving for variable 'x'. Reorder the terms: -65 + -16x + 4x2 = 65 + 16x + -65 + -16x Reorder the terms: -65 + -16x + 4x2 = 65 + -65 + 16x + -16x Combine like terms: 65 + -65 = 0 -65 + -16x + 4x2 = 0 + 16x + -16x -65 + -16x + 4x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -65 + -16x + 4x2 = 0 Factor a trinomial. (-5 + -2x)(13 + -2x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {-2.5, 6.5}
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