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Simplifying 46x2 = 15x3 Solving 46x2 = 15x3 Solving for variable 'x'. Combine like terms: 15x3 + -15x3 = 0 46x2 + -15x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(46 + -15x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(46 + -15x)' equal to zero and attempt to solve: Simplifying 46 + -15x = 0 Solving 46 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -15x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -15x = 0 + -46 -15x = 0 + -46 Combine like terms: 0 + -46 = -46 -15x = -46 Divide each side by '-15'. x = 3.066666667 Simplifying x = 3.066666667Solution
x = {0, 3.066666667}
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