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Simplifying
5(7x2 + -4) + -1[5(2x2 + -1) + 3] = 0
Reorder the terms:
5(-4 + 7x2) + -1[5(2x2 + -1) + 3] = 0
(-4 * 5 + 7x2 * 5) + -1[5(2x2 + -1) + 3] = 0
(-20 + 35x2) + -1[5(2x2 + -1) + 3] = 0
Reorder the terms:
-20 + 35x2 + -1[5(-1 + 2x2) + 3] = 0
-20 + 35x2 + -1[(-1 * 5 + 2x2 * 5) + 3] = 0
-20 + 35x2 + -1[(-5 + 10x2) + 3] = 0
Reorder the terms:
-20 + 35x2 + -1[-5 + 3 + 10x2] = 0
Combine like terms: -5 + 3 = -2
-20 + 35x2 + -1[-2 + 10x2] = 0
-20 + 35x2 + [-2 * -1 + 10x2 * -1] = 0
-20 + 35x2 + [2 + -10x2] = 0
Reorder the terms:
-20 + 2 + 35x2 + -10x2 = 0
Combine like terms: -20 + 2 = -18
-18 + 35x2 + -10x2 = 0
Combine like terms: 35x2 + -10x2 = 25x2
-18 + 25x2 = 0
Solving
-18 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 25x2 = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 25x2 = 0 + 18
25x2 = 0 + 18
Combine like terms: 0 + 18 = 18
25x2 = 18
Divide each side by '25'.
x2 = 0.72
Simplifying
x2 = 0.72
Take the square root of each side:
x = {-0.848528137, 0.848528137}
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