Solve 2x^2 - 8x = -7\

Evaluate

2 x^{2} - 8 x = - 7

Move the expression to the left side

2 x^{2} - 8 x + 7 = 0

Substitute a= 2,b= - 8 and c= 7 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 2 \times 7}{2 \times 2}

Simplify the expression

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 2 \times 7}{4}

Simplify the expression

More Steps

x = \frac{8 \pm 8}{4}

Simplify the radical expression

More Steps

x = \frac{8 \pm 2 2}{4}

Separate the equation into 2 possible cases

x = \frac{8 + 2 2}{4} x = \frac{8 - 2 2}{4}

Simplify the expression

More Steps

x = \frac{4 + 2}{2} x = \frac{8 - 2 2}{4}

Simplify the expression

More Steps

x = \frac{4 + 2}{2} x = \frac{4 - 2}{2}

Solution

x_{1} = \frac{4 - 2}{2}, x_{2} = \frac{4 + 2}{2}

Alternative Form

x_{1} \approx 1.292893, x_{2} \approx 2.707107

Solve the quadratic equation