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Simplifying (2x + -8)(4R + -7) = 0 Reorder the terms: (-8 + 2x)(4R + -7) = 0 Reorder the terms: (-8 + 2x)(-7 + 4R) = 0 Multiply (-8 + 2x) * (-7 + 4R) (-8(-7 + 4R) + 2x * (-7 + 4R)) = 0 ((-7 * -8 + 4R * -8) + 2x * (-7 + 4R)) = 0 ((56 + -32R) + 2x * (-7 + 4R)) = 0 (56 + -32R + (-7 * 2x + 4R * 2x)) = 0 (56 + -32R + (-14x + 8xR)) = 0 (56 + -32R + -14x + 8xR) = 0 Solving 56 + -32R + -14x + 8xR = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -32R + -14x + -56 + 8xR = 0 + -56 Reorder the terms: 56 + -56 + -32R + -14x + 8xR = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -32R + -14x + 8xR = 0 + -56 -32R + -14x + 8xR = 0 + -56 Combine like terms: 0 + -56 = -56 -32R + -14x + 8xR = -56 Add '14x' to each side of the equation. -32R + -14x + 14x + 8xR = -56 + 14x Combine like terms: -14x + 14x = 0 -32R + 0 + 8xR = -56 + 14x -32R + 8xR = -56 + 14x Reorder the terms: 56 + -32R + -14x + 8xR = -56 + 14x + 56 + -14x Reorder the terms: 56 + -32R + -14x + 8xR = -56 + 56 + 14x + -14x Combine like terms: -56 + 56 = 0 56 + -32R + -14x + 8xR = 0 + 14x + -14x 56 + -32R + -14x + 8xR = 14x + -14x Combine like terms: 14x + -14x = 0 56 + -32R + -14x + 8xR = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -16R + -7x + 4xR) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + -16R + -7x + 4xR)' equal to zero and attempt to solve: Simplifying 28 + -16R + -7x + 4xR = 0 Solving 28 + -16R + -7x + 4xR = 0 Move all terms containing R to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -16R + -7x + -28 + 4xR = 0 + -28 Reorder the terms: 28 + -28 + -16R + -7x + 4xR = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -16R + -7x + 4xR = 0 + -28 -16R + -7x + 4xR = 0 + -28 Combine like terms: 0 + -28 = -28 -16R + -7x + 4xR = -28 Add '7x' to each side of the equation. -16R + -7x + 7x + 4xR = -28 + 7x Combine like terms: -7x + 7x = 0 -16R + 0 + 4xR = -28 + 7x -16R + 4xR = -28 + 7x 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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