Solve -4(3w 10)=9-6w w - ScanMath

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Type your math problem... -4(3w 10)=9-6w w

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

w_{1} = \frac{20 - 406}{2}, w_{2} = \frac{20 + 406}{2}

Alternative Form

w_{1} \approx - 0.074721, w_{2} \approx 20.074721

Evaluate

- 4 (3 w \times 10) = 9 - 6 w \times w

Remove the parentheses

- 4 \times 3 w \times 10 = 9 - 6 w \times w

Multiply the terms

More Steps

- 120 w = 9 - 6 w \times w

Multiply the terms

- 120 w = 9 - 6 w^{2}

Swap the sides

9 - 6 w^{2} = - 120 w

Move the expression to the left side

9 - 6 w^{2} + 120 w = 0

Rewrite in standard form

- 6 w^{2} + 120 w + 9 = 0

Multiply both sides

6 w^{2} - 120 w - 9 = 0

Substitute a= 6,b= - 120 and c= - 9 into the quadratic formula w = \frac{- b \pm b ^{2} - 4 a c}{2 a}

w = \frac{120 \pm ( - 120 ) ^{2} - 4 \times 6 ( - 9 )}{2 \times 6}

Simplify the expression

w = \frac{120 \pm ( - 120 ) ^{2} - 4 \times 6 ( - 9 )}{12}

Simplify the expression

More Steps

w = \frac{120 \pm 14616}{12}

Simplify the radical expression

More Steps

w = \frac{120 \pm 6 406}{12}

Separate the equation into 2 possible cases

w = \frac{120 + 6 406}{12} w = \frac{120 - 6 406}{12}

Simplify the expression

More Steps

w = \frac{20 + 406}{2} w = \frac{120 - 6 406}{12}

Simplify the expression

More Steps

w = \frac{20 + 406}{2} w = \frac{20 - 406}{2}

Solution

w_{1} = \frac{20 - 406}{2}, w_{2} = \frac{20 + 406}{2}

Alternative Form

w_{1} \approx - 0.074721, w_{2} \approx 20.074721

Show Solution

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