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Simplifying s = 7 * 3.14s * h + 7 * 3.14(s * s) Multiply 7 * 3.14 s = 21.98s * h + 7 * 3.14(s * s) Multiply s * h s = 21.98hs + 7 * 3.14(s * s) Multiply s * s s = 21.98hs + 7 * 3.14(s2) Multiply 7 * 3.14 s = 21.98hs + 21.98s2 Solving s = 21.98hs + 21.98s2 Solving for variable 's'. Reorder the terms: -21.98hs + s + -21.98s2 = 21.98hs + 21.98s2 + -21.98hs + -21.98s2 Reorder the terms: -21.98hs + s + -21.98s2 = 21.98hs + -21.98hs + 21.98s2 + -21.98s2 Combine like terms: 21.98hs + -21.98hs = 0.00 -21.98hs + s + -21.98s2 = 0.00 + 21.98s2 + -21.98s2 -21.98hs + s + -21.98s2 = 21.98s2 + -21.98s2 Combine like terms: 21.98s2 + -21.98s2 = 0.00 -21.98hs + s + -21.98s2 = 0.00 Factor out the Greatest Common Factor (GCF), 's'. s(-21.98h + 1 + -21.98s) = 0.00Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(-21.98h + 1 + -21.98s)' equal to zero and attempt to solve: Simplifying -21.98h + 1 + -21.98s = 0 Reorder the terms: 1 + -21.98h + -21.98s = 0 Solving 1 + -21.98h + -21.98s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -21.98h + -1 + -21.98s = 0 + -1 Reorder the terms: 1 + -1 + -21.98h + -21.98s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -21.98h + -21.98s = 0 + -1 -21.98h + -21.98s = 0 + -1 Combine like terms: 0 + -1 = -1 -21.98h + -21.98s = -1 Add '21.98h' to each side of the equation. -21.98h + 21.98h + -21.98s = -1 + 21.98h Combine like terms: -21.98h + 21.98h = 0.00 0.00 + -21.98s = -1 + 21.98h -21.98s = -1 + 21.98h Divide each side by '-21.98'. s = 0.04549590537 + -1h Simplifying s = 0.04549590537 + -1hSolution
s = {0, 0.04549590537 + -1h}
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