Solve the equations by factorization
$6 x^{2} - 150 = 0$

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Solution

Step 1: Factorize the given equation
$6 x^{2} - 150 = 0$
Taking out 6 as a common factor we get,
$\Rightarrow 6 (x^{2} - 25) = 0$
$\Rightarrow 6 (x + 5) (x - 5) = 0 [a^{2} - b^{2} = (a + b) (a - b)]$
Step 2: Solve for $x .$
$x + 5 = 0 o r x - 5 - 0 \Rightarrow x = - 5 o r x = 5$
Hence, the values of $x$ are $- 5 o r 5 .$

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