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Simplifying x(15x + 41) = 30 Reorder the terms: x(41 + 15x) = 30 (41 * x + 15x * x) = 30 (41x + 15x2) = 30 Solving 41x + 15x2 = 30 Solving for variable 'x'. Reorder the terms: -30 + 41x + 15x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 41x + 15x2 = 0 Factor a trinomial. (-10 + -3x)(3 + -5x) = 0Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-3.333333333, 0.6}
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