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Simplifying 4x3 = 3x2 Solving 4x3 = 3x2 Solving for variable 'x'. Reorder the terms: -3x2 + 4x3 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-3 + 4x) = 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 '(-3 + 4x)' equal to zero and attempt to solve: Simplifying -3 + 4x = 0 Solving -3 + 4x = 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 + 4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 0 + 3 4x = 0 + 3 Combine like terms: 0 + 3 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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