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Simplifying
[4x2 + (6x2)] + [(4x2 + -1(10 + -10x2)) + -6x2] = 0
Combine like terms: 4x2 + (6x2) = 10x2
[10x2] + [(4x2 + -1(10 + -10x2)) + -6x2] = 0
[10x2] + [(4x2 + -1(10 + -10x2)) + -6x2] = 0
[10x2] + [(4x2 + (10 * -1 + -10x2 * -1)) + -6x2] = 0
[10x2] + [(4x2 + (-10 + 10x2)) + -6x2] = 0
Reorder the terms:
[10x2] + [(-10 + 4x2 + 10x2) + -6x2] = 0
Combine like terms: 4x2 + 10x2 = 14x2
[10x2] + [(-10 + 14x2) + -6x2] = 0
Remove parenthesis around (-10 + 14x2)
[10x2] + [-10 + 14x2 + -6x2] = 0
Combine like terms: 14x2 + -6x2 = 8x2
[10x2] + [-10 + 8x2] = 0
Remove brackets around [-10 + 8x2]
[10x2] + -10 + 8x2 = 0
Reorder the terms:
-10 + [10x2] + 8x2 = 0
Combine like terms: [10x2] + 8x2 = 18x2
-10 + 18x2 = 0
Solving
-10 + 18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 18x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 18x2 = 0 + 10
18x2 = 0 + 10
Combine like terms: 0 + 10 = 10
18x2 = 10
Divide each side by '18'.
x2 = 0.5555555556
Simplifying
x2 = 0.5555555556
Take the square root of each side:
x = {-0.745355993, 0.745355993}
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