Solve 7m^2=7n-5 - ScanMath

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Type your math problem... 7m^2=7n-5

Question

Solve the equation

Solve for m

Solve for n

m = \frac{49 n - 35}{7} m = - \frac{49 n - 35}{7}

Evaluate

7 m^{2} = 7 n - 5

Divide both sides

\frac{7 m ^{2}}{7} = \frac{7 n - 5}{7}

Divide the numbers

m^{2} = \frac{7 n - 5}{7}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{7 n - 5}{7}

Simplify the expression

More Steps

Evaluate

\frac{7 n - 5}{7}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{7 n - 5}{7}

Multiply by the Conjugate

\frac{7 n - 5 \times 7}{7 \times 7}

Calculate

\frac{7 n - 5 \times 7}{7}

Calculate

More Steps

Evaluate

7 n - 5 \times 7

The product of roots with the same index is equal to the root of the product

(7 n - 5) \times 7

Calculate the product

49 n - 35

\frac{49 n - 35}{7}

m = \pm \frac{49 n - 35}{7}

Solution

m = \frac{49 n - 35}{7} m = - \frac{49 n - 35}{7}

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