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Simplifying
6(9x2 + -2) + -5[5(3x2 + -2) + 3] = 0
Reorder the terms:
6(-2 + 9x2) + -5[5(3x2 + -2) + 3] = 0
(-2 * 6 + 9x2 * 6) + -5[5(3x2 + -2) + 3] = 0
(-12 + 54x2) + -5[5(3x2 + -2) + 3] = 0
Reorder the terms:
-12 + 54x2 + -5[5(-2 + 3x2) + 3] = 0
-12 + 54x2 + -5[(-2 * 5 + 3x2 * 5) + 3] = 0
-12 + 54x2 + -5[(-10 + 15x2) + 3] = 0
Reorder the terms:
-12 + 54x2 + -5[-10 + 3 + 15x2] = 0
Combine like terms: -10 + 3 = -7
-12 + 54x2 + -5[-7 + 15x2] = 0
-12 + 54x2 + [-7 * -5 + 15x2 * -5] = 0
-12 + 54x2 + [35 + -75x2] = 0
Reorder the terms:
-12 + 35 + 54x2 + -75x2 = 0
Combine like terms: -12 + 35 = 23
23 + 54x2 + -75x2 = 0
Combine like terms: 54x2 + -75x2 = -21x2
23 + -21x2 = 0
Solving
23 + -21x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-23' to each side of the equation.
23 + -23 + -21x2 = 0 + -23
Combine like terms: 23 + -23 = 0
0 + -21x2 = 0 + -23
-21x2 = 0 + -23
Combine like terms: 0 + -23 = -23
-21x2 = -23
Divide each side by '-21'.
x2 = 1.095238095
Simplifying
x2 = 1.095238095
Take the square root of each side:
x = {-1.046536237, 1.046536237}
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