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Simplifying
6x2 + 9 + -1[9(x2 + -7) + 4] = 0
Reorder the terms:
6x2 + 9 + -1[9(-7 + x2) + 4] = 0
6x2 + 9 + -1[(-7 * 9 + x2 * 9) + 4] = 0
6x2 + 9 + -1[(-63 + 9x2) + 4] = 0
Reorder the terms:
6x2 + 9 + -1[-63 + 4 + 9x2] = 0
Combine like terms: -63 + 4 = -59
6x2 + 9 + -1[-59 + 9x2] = 0
6x2 + 9 + [-59 * -1 + 9x2 * -1] = 0
6x2 + 9 + [59 + -9x2] = 0
Reorder the terms:
9 + 59 + 6x2 + -9x2 = 0
Combine like terms: 9 + 59 = 68
68 + 6x2 + -9x2 = 0
Combine like terms: 6x2 + -9x2 = -3x2
68 + -3x2 = 0
Solving
68 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-68' to each side of the equation.
68 + -68 + -3x2 = 0 + -68
Combine like terms: 68 + -68 = 0
0 + -3x2 = 0 + -68
-3x2 = 0 + -68
Combine like terms: 0 + -68 = -68
-3x2 = -68
Divide each side by '-3'.
x2 = 22.66666667
Simplifying
x2 = 22.66666667
Take the square root of each side:
x = {-4.760952286, 4.760952286}
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