Solve x^2 - (2 - 3x) = 6

Evaluate

x^{2} - (2 - 3 x) = 6

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{2} - 2 + 3 x = 6

Move the expression to the left side

x^{2} - 8 + 3 x = 0

Rewrite in standard form

x^{2} + 3 x - 8 = 0

Substitute a= 1,b= 3 and c= - 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 3 \pm 3 ^{2} - 4 ( - 8 )}{2}

Simplify the expression

More Steps

x = \frac{- 3 \pm 41}{2}

Separate the equation into 2 possible cases

x = \frac{- 3 + 41}{2} x = \frac{- 3 - 41}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 3 + 41}{2} x = - \frac{3 + 41}{2}

Solution

x_{1} = - \frac{3 + 41}{2}, x_{2} = \frac{- 3 + 41}{2}

Alternative Form

x_{1} \approx - 4.701562, x_{2} \approx 1.701562

Solve the quadratic equation

Graph