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Simplifying 25x2 = -8 + 45x Solving 25x2 = -8 + 45x Solving for variable 'x'. Reorder the terms: 8 + -45x + 25x2 = -8 + 45x + 8 + -45x Reorder the terms: 8 + -45x + 25x2 = -8 + 8 + 45x + -45x Combine like terms: -8 + 8 = 0 8 + -45x + 25x2 = 0 + 45x + -45x 8 + -45x + 25x2 = 45x + -45x Combine like terms: 45x + -45x = 0 8 + -45x + 25x2 = 0 Factor a trinomial. (1 + -5x)(8 + -5x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {0.2, 1.6}
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