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Simplifying
15x2 + -18 + -1[4(x2 + -1) + 5] = 0
Reorder the terms:
15x2 + -18 + -1[4(-1 + x2) + 5] = 0
15x2 + -18 + -1[(-1 * 4 + x2 * 4) + 5] = 0
15x2 + -18 + -1[(-4 + 4x2) + 5] = 0
Reorder the terms:
15x2 + -18 + -1[-4 + 5 + 4x2] = 0
Combine like terms: -4 + 5 = 1
15x2 + -18 + -1[1 + 4x2] = 0
15x2 + -18 + [1 * -1 + 4x2 * -1] = 0
15x2 + -18 + [-1 + -4x2] = 0
Reorder the terms:
-18 + -1 + 15x2 + -4x2 = 0
Combine like terms: -18 + -1 = -19
-19 + 15x2 + -4x2 = 0
Combine like terms: 15x2 + -4x2 = 11x2
-19 + 11x2 = 0
Solving
-19 + 11x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 11x2 = 0 + 19
Combine like terms: -19 + 19 = 0
0 + 11x2 = 0 + 19
11x2 = 0 + 19
Combine like terms: 0 + 19 = 19
11x2 = 19
Divide each side by '11'.
x2 = 1.727272727
Simplifying
x2 = 1.727272727
Take the square root of each side:
x = {-1.314257481, 1.314257481}
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