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Simplifying 5rt(128x4) + 5rt(64x2) = 4 Remove parenthesis around (128x4) 5rt * 128x4 + 5rt(64x2) = 4 Reorder the terms for easier multiplication: 5 * 128rt * x4 + 5rt(64x2) = 4 Multiply 5 * 128 640rt * x4 + 5rt(64x2) = 4 Multiply rt * x4 640rtx4 + 5rt(64x2) = 4 Remove parenthesis around (64x2) 640rtx4 + 5rt * 64x2 = 4 Reorder the terms for easier multiplication: 640rtx4 + 5 * 64rt * x2 = 4 Multiply 5 * 64 640rtx4 + 320rt * x2 = 4 Multiply rt * x2 640rtx4 + 320rtx2 = 4 Reorder the terms: 320rtx2 + 640rtx4 = 4 Solving 320rtx2 + 640rtx4 = 4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Reorder the terms: -4 + 320rtx2 + 640rtx4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 320rtx2 + 640rtx4 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 80rtx2 + 160rtx4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 80rtx2 + 160rtx4)' equal to zero and attempt to solve: Simplifying -1 + 80rtx2 + 160rtx4 = 0 Solving -1 + 80rtx2 + 160rtx4 = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 80rtx2 + 1 + 160rtx4 = 0 + 1 Reorder the terms: -1 + 1 + 80rtx2 + 160rtx4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 80rtx2 + 160rtx4 = 0 + 1 80rtx2 + 160rtx4 = 0 + 1 Combine like terms: 0 + 1 = 1 80rtx2 + 160rtx4 = 1 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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