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Simplifying (x + 48) * 7x = 0 Reorder the terms: (48 + x) * 7x = 0 Reorder the terms for easier multiplication: 7x(48 + x) = 0 (48 * 7x + x * 7x) = 0 (336x + 7x2) = 0 Solving 336x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(48 + x) = 0 Ignore the factor 7.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 '(48 + x)' equal to zero and attempt to solve: Simplifying 48 + x = 0 Solving 48 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + x = 0 + -48 x = 0 + -48 Combine like terms: 0 + -48 = -48 x = -48 Simplifying x = -48Solution
x = {0, -48}
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