5(5X^2-8)=9

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Solution for 5(5X^2-8)=9 equation:


Simplifying
5(5X2 + -8) = 9

Reorder the terms:
5(-8 + 5X2) = 9
(-8 * 5 + 5X2 * 5) = 9
(-40 + 25X2) = 9

Solving
-40 + 25X2 = 9

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '40' to each side of the equation.
-40 + 40 + 25X2 = 9 + 40

Combine like terms: -40 + 40 = 0
0 + 25X2 = 9 + 40
25X2 = 9 + 40

Combine like terms: 9 + 40 = 49
25X2 = 49

Divide each side by '25'.
X2 = 1.96

Simplifying
X2 = 1.96

Take the square root of each side:
X = {-1.4, 1.4}

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