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Simplifying (-5x)(2x2 + -3) + -4x = 0 Remove parenthesis around (-5x) -5x(2x2 + -3) + -4x = 0 Reorder the terms: -5x(-3 + 2x2) + -4x = 0 (-3 * -5x + 2x2 * -5x) + -4x = 0 (15x + -10x3) + -4x = 0 Reorder the terms: 15x + -4x + -10x3 = 0 Combine like terms: 15x + -4x = 11x 11x + -10x3 = 0 Solving 11x + -10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -10x2) = 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 + -10x2)' equal to zero and attempt to solve: Simplifying 11 + -10x2 = 0 Solving 11 + -10x2 = 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 + -10x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10x2 = 0 + -11 -10x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -10x2 = -11 Divide each side by '-10'. x2 = 1.1 Simplifying x2 = 1.1 Take the square root of each side: x = {-1.048808848, 1.048808848}Solution
x = {0, -1.048808848, 1.048808848}
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