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Simplifying
4x2 + -9(36 + -1x2) = 36
4x2 + (36 * -9 + -1x2 * -9) = 36
4x2 + (-324 + 9x2) = 36
Reorder the terms:
-324 + 4x2 + 9x2 = 36
Combine like terms: 4x2 + 9x2 = 13x2
-324 + 13x2 = 36
Solving
-324 + 13x2 = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '324' to each side of the equation.
-324 + 324 + 13x2 = 36 + 324
Combine like terms: -324 + 324 = 0
0 + 13x2 = 36 + 324
13x2 = 36 + 324
Combine like terms: 36 + 324 = 360
13x2 = 360
Divide each side by '13'.
x2 = 27.69230769
Simplifying
x2 = 27.69230769
Take the square root of each side:
x = {-5.262348116, 5.262348116}
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