Solve 12v/18v-80 - ScanMath

Evaluate

(12 \times \frac{v}{18}) v - 80

To find the roots of the expression,set the expression equal to 0

(12 \times \frac{v}{18}) v - 80 = 0

Multiply the terms

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\frac{2 v}{3} v - 80 = 0

Multiply the terms

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\frac{2 v ^{2}}{3} - 80 = 0

Subtract the terms

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\frac{2 v ^{2} - 240}{3} = 0

Simplify

2 v^{2} - 240 = 0

Move the constant to the right side

2 v^{2} = 240

Divide both sides

\frac{2 v ^{2}}{2} = \frac{240}{2}

Divide the numbers

v^{2} = \frac{240}{2}

Divide the numbers

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v^{2} = 120

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

v = \pm 120

Simplify the expression

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v = \pm 230

Separate the equation into 2 possible cases

v = 230 v = - 230

Solution

v_{1} = - 230, v_{2} = 230

Alternative Form

v_{1} \approx - 10.954451, v_{2} \approx 10.954451

Simplify the expression