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Simplifying 6x + -12 = 4(x + 2) * kr Reorder the terms: -12 + 6x = 4(x + 2) * kr Reorder the terms: -12 + 6x = 4(2 + x) * kr Reorder the terms for easier multiplication: -12 + 6x = 4kr(2 + x) -12 + 6x = (2 * 4kr + x * 4kr) -12 + 6x = (8kr + 4krx) Solving -12 + 6x = 8kr + 4krx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4krx' to each side of the equation. -12 + -4krx + 6x = 8kr + 4krx + -4krx Combine like terms: 4krx + -4krx = 0 -12 + -4krx + 6x = 8kr + 0 -12 + -4krx + 6x = 8kr Add '12' to each side of the equation. -12 + -4krx + 12 + 6x = 12 + 8kr Reorder the terms: -12 + 12 + -4krx + 6x = 12 + 8kr Combine like terms: -12 + 12 = 0 0 + -4krx + 6x = 12 + 8kr -4krx + 6x = 12 + 8kr Reorder the terms: -12 + -8kr + -4krx + 6x = 12 + 8kr + -12 + -8kr Reorder the terms: -12 + -8kr + -4krx + 6x = 12 + -12 + 8kr + -8kr Combine like terms: 12 + -12 = 0 -12 + -8kr + -4krx + 6x = 0 + 8kr + -8kr -12 + -8kr + -4krx + 6x = 8kr + -8kr Combine like terms: 8kr + -8kr = 0 -12 + -8kr + -4krx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -4kr + -2krx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -4kr + -2krx + 3x)' equal to zero and attempt to solve: Simplifying -6 + -4kr + -2krx + 3x = 0 Solving -6 + -4kr + -2krx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -4kr + -2krx + 6 + 3x = 0 + 6 Reorder the terms: -6 + 6 + -4kr + -2krx + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4kr + -2krx + 3x = 0 + 6 -4kr + -2krx + 3x = 0 + 6 Combine like terms: 0 + 6 = 6 -4kr + -2krx + 3x = 6 Add '4kr' to each side of the equation. -4kr + -2krx + 4kr + 3x = 6 + 4kr Reorder the terms: -4kr + 4kr + -2krx + 3x = 6 + 4kr Combine like terms: -4kr + 4kr = 0 0 + -2krx + 3x = 6 + 4kr -2krx + 3x = 6 + 4kr The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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