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Simplifying
7(3x2 + -8) + -1[5(3x2 + -4) + 2] = 0
Reorder the terms:
7(-8 + 3x2) + -1[5(3x2 + -4) + 2] = 0
(-8 * 7 + 3x2 * 7) + -1[5(3x2 + -4) + 2] = 0
(-56 + 21x2) + -1[5(3x2 + -4) + 2] = 0
Reorder the terms:
-56 + 21x2 + -1[5(-4 + 3x2) + 2] = 0
-56 + 21x2 + -1[(-4 * 5 + 3x2 * 5) + 2] = 0
-56 + 21x2 + -1[(-20 + 15x2) + 2] = 0
Reorder the terms:
-56 + 21x2 + -1[-20 + 2 + 15x2] = 0
Combine like terms: -20 + 2 = -18
-56 + 21x2 + -1[-18 + 15x2] = 0
-56 + 21x2 + [-18 * -1 + 15x2 * -1] = 0
-56 + 21x2 + [18 + -15x2] = 0
Reorder the terms:
-56 + 18 + 21x2 + -15x2 = 0
Combine like terms: -56 + 18 = -38
-38 + 21x2 + -15x2 = 0
Combine like terms: 21x2 + -15x2 = 6x2
-38 + 6x2 = 0
Solving
-38 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '38' to each side of the equation.
-38 + 38 + 6x2 = 0 + 38
Combine like terms: -38 + 38 = 0
0 + 6x2 = 0 + 38
6x2 = 0 + 38
Combine like terms: 0 + 38 = 38
6x2 = 38
Divide each side by '6'.
x2 = 6.333333333
Simplifying
x2 = 6.333333333
Take the square root of each side:
x = {-2.516611478, 2.516611478}
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