49n^2-35n+4=4

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Solution for 49n^2-35n+4=4 equation:


Simplifying
49n2 + -35n + 4 = 4

Reorder the terms:
4 + -35n + 49n2 = 4

Add '-4' to each side of the equation.
4 + -35n + -4 + 49n2 = 4 + -4

Reorder the terms:
4 + -4 + -35n + 49n2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -35n + 49n2 = 4 + -4
-35n + 49n2 = 4 + -4

Combine like terms: 4 + -4 = 0
-35n + 49n2 = 0

Solving
-35n + 49n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7n'.
7n(-5 + 7n) = 0

Ignore the factor 7.

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 + 7n)' equal to zero and attempt to solve: Simplifying -5 + 7n = 0 Solving -5 + 7n = 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 + 7n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 0 + 5 7n = 0 + 5 Combine like terms: 0 + 5 = 5 7n = 5 Divide each side by '7'. n = 0.7142857143 Simplifying n = 0.7142857143

Solution

n = {0, 0.7142857143}

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