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Simplifying -6(4x + 3) = 6(-1rx + -3) Reorder the terms: -6(3 + 4x) = 6(-1rx + -3) (3 * -6 + 4x * -6) = 6(-1rx + -3) (-18 + -24x) = 6(-1rx + -3) Reorder the terms: -18 + -24x = 6(-3 + -1rx) -18 + -24x = (-3 * 6 + -1rx * 6) -18 + -24x = (-18 + -6rx) Add '18' to each side of the equation. -18 + 18 + -24x = -18 + 18 + -6rx Combine like terms: -18 + 18 = 0 0 + -24x = -18 + 18 + -6rx -24x = -18 + 18 + -6rx Combine like terms: -18 + 18 = 0 -24x = 0 + -6rx -24x = -6rx Solving -24x = -6rx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6rx' to each side of the equation. 6rx + -24x = -6rx + 6rx Combine like terms: -6rx + 6rx = 0 6rx + -24x = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(r + -4) = 0 Ignore the factor 6.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 '(r + -4)' equal to zero and attempt to solve: Simplifying r + -4 = 0 Reorder the terms: -4 + r = 0 Solving -4 + r = 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 + r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + r = 0 + 4 r = 0 + 4 Combine like terms: 0 + 4 = 4 r = 4 Add '-1r' to each side of the equation. r + -1r = 4 + -1r Combine like terms: r + -1r = 0 0 = 4 + -1r Simplifying 0 = 4 + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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