4n^2-5n+7=7

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Solution for 4n^2-5n+7=7 equation:


Simplifying
4n2 + -5n + 7 = 7

Reorder the terms:
7 + -5n + 4n2 = 7

Add '-7' to each side of the equation.
7 + -5n + -7 + 4n2 = 7 + -7

Reorder the terms:
7 + -7 + -5n + 4n2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + -5n + 4n2 = 7 + -7
-5n + 4n2 = 7 + -7

Combine like terms: 7 + -7 = 0
-5n + 4n2 = 0

Solving
-5n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5 + 4n) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-5 + 4n)' equal to zero and attempt to solve:

Simplifying
-5 + 4n = 0

Solving
-5 + 4n = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4n = 0 + 5
4n = 0 + 5

Combine like terms: 0 + 5 = 5
4n = 5

Divide each side by '4'.
n = 1.25

Simplifying
n = 1.25
Solution
n = {0, 1.25}

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