Solve 12=5q 8(q-5) - ScanMath

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Type your math problem... 12=5q 8(q-5)

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

q_{1} = \frac{25 - 655}{10}, q_{2} = \frac{25 + 655}{10}

Alternative Form

q_{1} \approx - 0.059297, q_{2} \approx 5.059297

Evaluate

12 = 5 q \times 8 (q - 5)

Multiply the terms

12 = 40 q (q - 5)

Swap the sides

40 q (q - 5) = 12

Expand the expression

More Steps

40 q^{2} - 200 q = 12

Move the expression to the left side

40 q^{2} - 200 q - 12 = 0

Substitute a= 40,b= - 200 and c= - 12 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{200 \pm ( - 200 ) ^{2} - 4 \times 40 ( - 12 )}{2 \times 40}

Simplify the expression

q = \frac{200 \pm ( - 200 ) ^{2} - 4 \times 40 ( - 12 )}{80}

Simplify the expression

More Steps

q = \frac{200 \pm 41920}{80}

Simplify the radical expression

More Steps

q = \frac{200 \pm 8 655}{80}

Separate the equation into 2 possible cases

q = \frac{200 + 8 655}{80} q = \frac{200 - 8 655}{80}

Simplify the expression

More Steps

q = \frac{25 + 655}{10} q = \frac{200 - 8 655}{80}

Simplify the expression

More Steps

q = \frac{25 + 655}{10} q = \frac{25 - 655}{10}

Solution

q_{1} = \frac{25 - 655}{10}, q_{2} = \frac{25 + 655}{10}

Alternative Form

q_{1} \approx - 0.059297, q_{2} \approx 5.059297

Show Solution

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