-4r^2-8r=4

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Solution for -4r^2-8r=4 equation:


Simplifying
-4r2 + -8r = 4

Reorder the terms:
-8r + -4r2 = 4

Solving
-8r + -4r2 = 4

Solving for variable 'r'.

Reorder the terms:
-4 + -8r + -4r2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -8r + -4r2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(1 + 2r + r2) = 0

Factor a trinomial.
-4((1 + r)(1 + r)) = 0

Ignore the factor -4.

Subproblem 1

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

Subproblem 2

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

Solution

r = {-1, -1}

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