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Simplifying 3(x2 + -4) = 4(x + -3) Reorder the terms: 3(-4 + x2) = 4(x + -3) (-4 * 3 + x2 * 3) = 4(x + -3) (-12 + 3x2) = 4(x + -3) Reorder the terms: -12 + 3x2 = 4(-3 + x) -12 + 3x2 = (-3 * 4 + x * 4) -12 + 3x2 = (-12 + 4x) Add '12' to each side of the equation. -12 + 12 + 3x2 = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 3x2 = -12 + 12 + 4x 3x2 = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 3x2 = 0 + 4x 3x2 = 4x Solving 3x2 = 4x Solving for variable 'x'. Reorder the terms: -4x + 3x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -4x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 3x) = 0Subproblem 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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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