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Simplifying 16x2 = 8x + 575 Reorder the terms: 16x2 = 575 + 8x Solving 16x2 = 575 + 8x Solving for variable 'x'. Reorder the terms: -575 + -8x + 16x2 = 575 + 8x + -575 + -8x Reorder the terms: -575 + -8x + 16x2 = 575 + -575 + 8x + -8x Combine like terms: 575 + -575 = 0 -575 + -8x + 16x2 = 0 + 8x + -8x -575 + -8x + 16x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -575 + -8x + 16x2 = 0 Factor a trinomial. (-23 + -4x)(25 + -4x) = 0Subproblem 1
Set the factor '(-23 + -4x)' equal to zero and attempt to solve: Simplifying -23 + -4x = 0 Solving -23 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -4x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = 0 + 23 -4x = 0 + 23 Combine like terms: 0 + 23 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75Subproblem 2
Set the factor '(25 + -4x)' equal to zero and attempt to solve: Simplifying 25 + -4x = 0 Solving 25 + -4x = 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 + -4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 0 + -25 -4x = 0 + -25 Combine like terms: 0 + -25 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25Solution
x = {-5.75, 6.25}
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