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Simplifying
5(7x2 + -8) + -1[6(4x2 + -5) + 6] = 0
Reorder the terms:
5(-8 + 7x2) + -1[6(4x2 + -5) + 6] = 0
(-8 * 5 + 7x2 * 5) + -1[6(4x2 + -5) + 6] = 0
(-40 + 35x2) + -1[6(4x2 + -5) + 6] = 0
Reorder the terms:
-40 + 35x2 + -1[6(-5 + 4x2) + 6] = 0
-40 + 35x2 + -1[(-5 * 6 + 4x2 * 6) + 6] = 0
-40 + 35x2 + -1[(-30 + 24x2) + 6] = 0
Reorder the terms:
-40 + 35x2 + -1[-30 + 6 + 24x2] = 0
Combine like terms: -30 + 6 = -24
-40 + 35x2 + -1[-24 + 24x2] = 0
-40 + 35x2 + [-24 * -1 + 24x2 * -1] = 0
-40 + 35x2 + [24 + -24x2] = 0
Reorder the terms:
-40 + 24 + 35x2 + -24x2 = 0
Combine like terms: -40 + 24 = -16
-16 + 35x2 + -24x2 = 0
Combine like terms: 35x2 + -24x2 = 11x2
-16 + 11x2 = 0
Solving
-16 + 11x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 11x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 11x2 = 0 + 16
11x2 = 0 + 16
Combine like terms: 0 + 16 = 16
11x2 = 16
Divide each side by '11'.
x2 = 1.454545455
Simplifying
x2 = 1.454545455
Take the square root of each side:
x = {-1.206045379, 1.206045379}
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