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Simplifying 49x3 + 20x = -84x2 Reorder the terms: 20x + 49x3 = -84x2 Solving 20x + 49x3 = -84x2 Solving for variable 'x'. Reorder the terms: 20x + 84x2 + 49x3 = -84x2 + 84x2 Combine like terms: -84x2 + 84x2 = 0 20x + 84x2 + 49x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + 84x + 49x2) = 0 Factor a trinomial. x((10 + 7x)(2 + 7x)) = 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 '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 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 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429Subproblem 3
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, -1.428571429, -0.2857142857}
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