4(x^2-10)=9

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Solution for 4(x^2-10)=9 equation:


Simplifying
4(x2 + -10) = 9

Reorder the terms:
4(-10 + x2) = 9
(-10 * 4 + x2 * 4) = 9
(-40 + 4x2) = 9

Solving
-40 + 4x2 = 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 + 4x2 = 9 + 40

Combine like terms: -40 + 40 = 0
0 + 4x2 = 9 + 40
4x2 = 9 + 40

Combine like terms: 9 + 40 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}

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