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Simplifying
4(5x2 + -2) + -1[3(2x2 + -1) + 4] = 0
Reorder the terms:
4(-2 + 5x2) + -1[3(2x2 + -1) + 4] = 0
(-2 * 4 + 5x2 * 4) + -1[3(2x2 + -1) + 4] = 0
(-8 + 20x2) + -1[3(2x2 + -1) + 4] = 0
Reorder the terms:
-8 + 20x2 + -1[3(-1 + 2x2) + 4] = 0
-8 + 20x2 + -1[(-1 * 3 + 2x2 * 3) + 4] = 0
-8 + 20x2 + -1[(-3 + 6x2) + 4] = 0
Reorder the terms:
-8 + 20x2 + -1[-3 + 4 + 6x2] = 0
Combine like terms: -3 + 4 = 1
-8 + 20x2 + -1[1 + 6x2] = 0
-8 + 20x2 + [1 * -1 + 6x2 * -1] = 0
-8 + 20x2 + [-1 + -6x2] = 0
Reorder the terms:
-8 + -1 + 20x2 + -6x2 = 0
Combine like terms: -8 + -1 = -9
-9 + 20x2 + -6x2 = 0
Combine like terms: 20x2 + -6x2 = 14x2
-9 + 14x2 = 0
Solving
-9 + 14x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 14x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 14x2 = 0 + 9
14x2 = 0 + 9
Combine like terms: 0 + 9 = 9
14x2 = 9
Divide each side by '14'.
x2 = 0.6428571429
Simplifying
x2 = 0.6428571429
Take the square root of each side:
x = {-0.801783726, 0.801783726}
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