R^2-2Rx-3x^2=0

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Solution for R^2-2Rx-3x^2=0 equation:


Simplifying
R2 + -2Rx + -3x2 = 0

Solving
R2 + -2xR + -3x2 = 0

Solving for variable 'R'.

Factor a trinomial.
(R + -3x)(R + x) = 0

Subproblem 1

Set the factor '(R + -3x)' equal to zero and attempt to solve: Simplifying R + -3x = 0 Solving R + -3x = 0 Move all terms containing R to the left, all other terms to the right. Add '3x' to each side of the equation. R + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 R + 0 = 0 + 3x R = 0 + 3x Remove the zero: R = 3x Simplifying R = 3x

Subproblem 2

Set the factor '(R + x)' equal to zero and attempt to solve: Simplifying R + x = 0 Solving R + x = 0 Move all terms containing R to the left, all other terms to the right. Add '-1x' to each side of the equation. R + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 R + 0 = 0 + -1x R = 0 + -1x Remove the zero: R = -1x Simplifying R = -1x

Solution

R = {3x, -1x}

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