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Simplifying 16r4 + -49t2 = 0 Solving 16r4 + -49t2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49t2' to each side of the equation. 16r4 + -49t2 + 49t2 = 0 + 49t2 Combine like terms: -49t2 + 49t2 = 0 16r4 + 0 = 0 + 49t2 16r4 = 0 + 49t2 Remove the zero: 16r4 = 49t2 Divide each side by '16'. r4 = 3.0625t2 Simplifying r4 = 3.0625t2 Combine like terms: 3.0625t2 + -3.0625t2 = 0.0000 r4 + -3.0625t2 = 0.0000 Factor a difference between two squares. (r2 + 1.75t)(r2 + -1.75t) = 0.0000Subproblem 1
Set the factor '(r2 + 1.75t)' equal to zero and attempt to solve: Simplifying r2 + 1.75t = 0 Solving r2 + 1.75t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1.75t' to each side of the equation. r2 + 1.75t + -1.75t = 0 + -1.75t Combine like terms: 1.75t + -1.75t = 0.00 r2 + 0.00 = 0 + -1.75t r2 = 0 + -1.75t Remove the zero: r2 = -1.75t Simplifying r2 = -1.75t 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 '(r2 + -1.75t)' equal to zero and attempt to solve: Simplifying r2 + -1.75t = 0 Solving r2 + -1.75t = 0 Move all terms containing r to the left, all other terms to the right. Add '1.75t' to each side of the equation. r2 + -1.75t + 1.75t = 0 + 1.75t Combine like terms: -1.75t + 1.75t = 0.00 r2 + 0.00 = 0 + 1.75t r2 = 0 + 1.75t Remove the zero: r2 = 1.75t Simplifying r2 = 1.75t 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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