Solve 6a^2+x-1=0

$$6 a ^ { 2 } + x - 1 = 0$$

Solve for x

$$x=1-6a^{2}$$

Solution Steps

Subtract 6a^{2} from both sides. Anything subtracted from zero gives its negation.

$$x-1=-6a^{2}$$

Add 1 to both sides.

$$x=-6a^{2}+1$$

Solve for a (complex solution)

$$a=-\frac{\sqrt{6-6x}}{6}$$

$$a=\frac{\sqrt{6-6x}}{6}$$

Solve for a

$$a=\frac{\sqrt{6-6x}}{6}$$

$$a=-\frac{\sqrt{6-6x}}{6}\text{, }x\leq 1$$