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Simplifying f(0) = sqrt(4x + 28) Reorder the terms for easier multiplication: 0f = sqrt(4x + 28) Anything times zero is zero. 0f = sqrt(4x + 28) Reorder the terms: 0 = qrst(28 + 4x) 0 = (28 * qrst + 4x * qrst) 0 = (28qrst + 4qrstx) Solving 0 = 28qrst + 4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-28qrst' to each side of the equation. 0 + -28qrst = 28qrst + -28qrst + 4qrstx Remove the zero: -28qrst = 28qrst + -28qrst + 4qrstx Combine like terms: 28qrst + -28qrst = 0 -28qrst = 0 + 4qrstx -28qrst = 4qrstx Add '-4qrstx' to each side of the equation. -28qrst + -4qrstx = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -28qrst + -4qrstx = 0 Factor out the Greatest Common Factor (GCF), '-4qrst'. -4qrst(7 + x) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -1x 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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