\[2{x}^{2}-67=-3\]
1
Add 6767 to both sides.
2x2=−3+672{x}^{2}=-3+67

2
Simplify  −3+67-3+67  to  6464.
2x2=642{x}^{2}=64

3
Divide both sides by 22.
x2=642{x}^{2}=\frac{64}{2}

4
Simplify  642\frac{64}{2}  to  3232.
x2=32{x}^{2}=32

5
Take the square root of both sides.
x=±32x=\pm \sqrt{32}

6
Simplify  32\sqrt{32}  to  424\sqrt{2}.
x=±42x=\pm 4\sqrt{2}

Done

Decimal Form: ±5.656854
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