5r^2+2r+7=7

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Solution for 5r^2+2r+7=7 equation: 


Simplifying
5r2 + 2r + 7 = 7

Reorder the terms:
7 + 2r + 5r2 = 7

Add '-7' to each side of the equation.
7 + 2r + -7 + 5r2 = 7 + -7

Reorder the terms:
7 + -7 + 2r + 5r2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 2r + 5r2 = 7 + -7
2r + 5r2 = 7 + -7

Combine like terms: 7 + -7 = 0
2r + 5r2 = 0

Solving
2r + 5r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(2 + 5r) = 0


Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(2 + 5r)' equal to zero and attempt to solve:

Simplifying
2 + 5r = 0

Solving
2 + 5r = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5r = 0 + -2
5r = 0 + -2

Combine like terms: 0 + -2 = -2
5r = -2

Divide each side by '5'.
r = -0.4

Simplifying
r = -0.4
Solution
r = {0, -0.4}

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