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Simplifying 25x3 = 5x2 + 6x Reorder the terms: 25x3 = 6x + 5x2 Solving 25x3 = 6x + 5x2 Solving for variable 'x'. Reorder the terms: -6x + -5x2 + 25x3 = 6x + 5x2 + -6x + -5x2 Reorder the terms: -6x + -5x2 + 25x3 = 6x + -6x + 5x2 + -5x2 Combine like terms: 6x + -6x = 0 -6x + -5x2 + 25x3 = 0 + 5x2 + -5x2 -6x + -5x2 + 25x3 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6x + -5x2 + 25x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + -5x + 25x2) = 0 Factor a trinomial. x((-2 + -5x)(3 + -5x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 3
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 = {0, -0.4, 0.6}
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