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Simplifying 2x(5x + 3) + -1(8x * -2) = 0 Reorder the terms: 2x(3 + 5x) + -1(8x * -2) = 0 (3 * 2x + 5x * 2x) + -1(8x * -2) = 0 (6x + 10x2) + -1(8x * -2) = 0 Reorder the terms for easier multiplication: 6x + 10x2 + -1(8 * -2x) = 0 Multiply 8 * -2 6x + 10x2 + -1(-16x) = 0 Remove parenthesis around (-16x) 6x + 10x2 + -1 * -16x = 0 Multiply -1 * -16 6x + 10x2 + 16x = 0 Reorder the terms: 6x + 16x + 10x2 = 0 Combine like terms: 6x + 16x = 22x 22x + 10x2 = 0 Solving 22x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + 5x) = 0 Ignore the factor 2.Subproblem 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 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 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 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2Solution
x = {0, -2.2}
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