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Simplifying 3x3 + 25x2 = -42x Reorder the terms: 25x2 + 3x3 = -42x Solving 25x2 + 3x3 = -42x Solving for variable 'x'. Reorder the terms: 42x + 25x2 + 3x3 = -42x + 42x Combine like terms: -42x + 42x = 0 42x + 25x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(42 + 25x + 3x2) = 0 Factor a trinomial. x((6 + x)(7 + 3x)) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {0, -6, -2.333333333}
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