Solve -8(14p) 7p = -25 - 8p

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

p_{1} = \frac{1 - 1226}{196}, p_{2} = \frac{1 + 1226}{196}

Alternative Form

p_{1} \approx - 0.173542, p_{2} \approx 0.183746

Evaluate

- 8 \times 14 p \times 7 p = - 25 - 8 p

Multiply

More Steps

- 784 p^{2} = - 25 - 8 p

Move the expression to the left side

- 784 p^{2} + 25 + 8 p = 0

Rewrite in standard form

- 784 p^{2} + 8 p + 25 = 0

Multiply both sides

784 p^{2} - 8 p - 25 = 0

Substitute a= 784,b= - 8 and c= - 25 into the quadratic formula p = \frac{- b \pm b ^{2} - 4 a c}{2 a}

p = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 784 ( - 25 )}{2 \times 784}

Simplify the expression

p = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 784 ( - 25 )}{1568}

Simplify the expression

More Steps

p = \frac{8 \pm 78464}{1568}

Simplify the radical expression

More Steps

p = \frac{8 \pm 8 1226}{1568}

Separate the equation into 2 possible cases

p = \frac{8 + 8 1226}{1568} p = \frac{8 - 8 1226}{1568}

Simplify the expression

More Steps

p = \frac{1 + 1226}{196} p = \frac{8 - 8 1226}{1568}

Simplify the expression

More Steps

p = \frac{1 + 1226}{196} p = \frac{1 - 1226}{196}

Solution

p_{1} = \frac{1 - 1226}{196}, p_{2} = \frac{1 + 1226}{196}

Alternative Form

p_{1} \approx - 0.173542, p_{2} \approx 0.183746

Show Solution