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Simplifying 28x3 + 51x2 + 11x = 0 Reorder the terms: 11x + 51x2 + 28x3 = 0 Solving 11x + 51x2 + 28x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 51x + 28x2) = 0 Factor a trinomial. x((11 + 7x)(1 + 4x)) = 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 '(11 + 7x)' equal to zero and attempt to solve: Simplifying 11 + 7x = 0 Solving 11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 0 + -11 7x = 0 + -11 Combine like terms: 0 + -11 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 3
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {0, -1.571428571, -0.25}
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