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Simplifying sqrt(4x2 + 7x) = 0 Reorder the terms: qrst(7x + 4x2) = 0 (7x * qrst + 4x2 * qrst) = 0 (7qrstx + 4qrstx2) = 0 Solving 7qrstx + 4qrstx2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrstx'. qrstx(7 + 4x) = 0Subproblem 1
Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Add '-4x' to each side of the equation. 4x + -4x = -7 + -4x Combine like terms: 4x + -4x = 0 0 = -7 + -4x Simplifying 0 = -7 + -4x 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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