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Simplifying 25x3 + 20x2 + x = -3x Reorder the terms: x + 20x2 + 25x3 = -3x Solving x + 20x2 + 25x3 = -3x Solving for variable 'x'. Reorder the terms: x + 3x + 20x2 + 25x3 = -3x + 3x Combine like terms: x + 3x = 4x 4x + 20x2 + 25x3 = -3x + 3x Combine like terms: -3x + 3x = 0 4x + 20x2 + 25x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 20x + 25x2) = 0 Factor a trinomial. x((2 + 5x)(2 + 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 '(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 = -0.4Solution
x = {0, -0.4, -0.4}
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