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Simplifying 15x3 + -42x2 = 0 Reorder the terms: -42x2 + 15x3 = 0 Solving -42x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-14 + 5x) = 0 Ignore the factor 3.Subproblem 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 '(-14 + 5x)' equal to zero and attempt to solve: Simplifying -14 + 5x = 0 Solving -14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8Solution
x = {0, 2.8}
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