TR^2+100=400

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Solution for TR^2+100=400 equation:


Simplifying
TR2 + 100 = 400

Reorder the terms:
100 + R2T = 400

Solving
100 + R2T = 400

Solving for variable 'R'.

Move all terms containing R to the left, all other terms to the right.

Add '-100' to each side of the equation.
100 + -100 + R2T = 400 + -100

Combine like terms: 100 + -100 = 0
0 + R2T = 400 + -100
R2T = 400 + -100

Combine like terms: 400 + -100 = 300
R2T = 300

Divide each side by 'T'.
R2 = 300T-1

Simplifying
R2 = 300T-1

Combine like terms: 300T-1 + -300T-1 = 0
R2 + -300T-1 = 0

Factor out the Greatest Common Factor (GCF), 'T-1'.
T-1(R2T + -300) = 0

Subproblem 1

Set the factor 'T-1' equal to zero and attempt to solve: Simplifying T-1 = 0 Solving T-1 = 0 Move all terms containing R to the left, all other terms to the right. Add '-1T-1' to each side of the equation. T-1 + -1T-1 = 0 + -1T-1 Remove the zero: 0 = -1T-1 Simplifying 0 = -1T-1 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 '(R2T + -300)' equal to zero and attempt to solve: Simplifying R2T + -300 = 0 Reorder the terms: -300 + R2T = 0 Solving -300 + R2T = 0 Move all terms containing R to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + R2T = 0 + 300 Combine like terms: -300 + 300 = 0 0 + R2T = 0 + 300 R2T = 0 + 300 Combine like terms: 0 + 300 = 300 R2T = 300 Divide each side by 'T'. R2 = 300T-1 Simplifying R2 = 300T-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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