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Simplifying 25x(x + 1) = 66 Reorder the terms: 25x(1 + x) = 66 (1 * 25x + x * 25x) = 66 (25x + 25x2) = 66 Solving 25x + 25x2 = 66 Solving for variable 'x'. Reorder the terms: -66 + 25x + 25x2 = 66 + -66 Combine like terms: 66 + -66 = 0 -66 + 25x + 25x2 = 0 Factor a trinomial. (-11 + -5x)(6 + -5x) = 0Subproblem 1
Set the factor '(-11 + -5x)' equal to zero and attempt to solve: Simplifying -11 + -5x = 0 Solving -11 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 0 + 11 -5x = 0 + 11 Combine like terms: 0 + 11 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-2.2, 1.2}
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