Solve 3x (-5 x)=7-(5x-4)

Evaluate

3 x (- 5 x) = 7 - (5 x - 4)

Multiply

More Steps

- 15 x^{2} = 7 - (5 x - 4)

Subtract the terms

More Steps

- 15 x^{2} = 11 - 5 x

Move the expression to the left side

- 15 x^{2} - 11 + 5 x = 0

Rewrite in standard form

- 15 x^{2} + 5 x - 11 = 0

Multiply both sides

15 x^{2} - 5 x + 11 = 0

Substitute a= 15,b= - 5 and c= 11 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 15 \times 11}{2 \times 15}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 15 \times 11}{30}

Simplify the expression

More Steps

x = \frac{5 \pm - 635}{30}

Simplify the radical expression

More Steps

x = \frac{5 \pm 635 \times i}{30}

Separate the equation into 2 possible cases

x = \frac{5 + 635 \times i}{30} x = \frac{5 - 635 \times i}{30}

Simplify the expression

x = \frac{1}{6} + \frac{635}{30} i x = \frac{5 - 635 \times i}{30}

Simplify the expression

x = \frac{1}{6} + \frac{635}{30} i x = \frac{1}{6} - \frac{635}{30} i

Solution

x_{1} = \frac{1}{6} - \frac{635}{30} i, x_{2} = \frac{1}{6} + \frac{635}{30} i

Alternative Form

x_{1} \approx 0.1 \dot{6} - 0.839974 i, x_{2} \approx 0.1 \dot{6} + 0.839974 i

Solve the equation(The real numbers system)