Solve quadratic equations with calculations Precalculus

Solve the following equations.

2x^2-3x+1=3

-\dfrac{1}{2} and 2

-2 and \dfrac{1}{2}

The equation has no real solutions.

-\dfrac{1}{3} and \dfrac{1}{2}

4x^2+5x-3=17x-12

\dfrac{1}{2} and -2

\dfrac{3}{2}

The equation has no real solutions.

-\dfrac{3}{4} and \dfrac{1}{6}

7x^2+10x-20=x^{2}-x+15

\dfrac{7}{2} and -\dfrac{5}{3}

1 and -\dfrac{35}{6}

The equation has no real solutions.

-\dfrac{7}{2} and \dfrac{5}{3}

\left(2x+1\right)\left(x+7\right)=10x-3

-5 and 2

1 and -\dfrac{5}{2}

The equation has no real solutions.

-\dfrac{3}{4} and \dfrac{1}{6}

x^{2}=16x

0 and 16

0 and −16

The equation has no real solutions.

0 and \dfrac{1}{16}

2x^{2}=x+6

-2 and 3

-\dfrac{1}{2} and \dfrac{5}{6}

The equation has no real solutions.

-\dfrac{3}{2} and 2

\left(3x+1\right)\left(x-5\right)=-x^{2}-12x-4

x=\dfrac{1-\sqrt{5}}{4} and x=\dfrac{1+\sqrt{5}}{4}

x=\dfrac{1-2\sqrt{5}}{4} and x=\dfrac{1+2\sqrt{5}}{4}

The equation has no real solutions.

-\dfrac{1}{3} and 5