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Simplifying 18x[-3 + -1(8x(-5))] = 0 Reorder the terms for easier multiplication: 18x[-3 + -1(8 * -5x)] = 0 Multiply 8 * -5 18x[-3 + -1(-40x)] = 0 Remove parenthesis around (-40x) 18x[-3 + -1 * -40x] = 0 Multiply -1 * -40 18x[-3 + 40x] = 0 [-3 * 18x + 40x * 18x] = 0 [-54x + 720x2] = 0 Solving -54x + 720x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x'. 18x(-3 + 40x) = 0 Ignore the factor 18.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 '(-3 + 40x)' equal to zero and attempt to solve: Simplifying -3 + 40x = 0 Solving -3 + 40x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 40x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 40x = 0 + 3 40x = 0 + 3 Combine like terms: 0 + 3 = 3 40x = 3 Divide each side by '40'. x = 0.075 Simplifying x = 0.075Solution
x = {0, 0.075}
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