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Simplifying
(x2 + -2) + -16(x2 + -2) + 28 = 0
Reorder the terms:
(-2 + x2) + -16(x2 + -2) + 28 = 0
Remove parenthesis around (-2 + x2)
-2 + x2 + -16(x2 + -2) + 28 = 0
Reorder the terms:
-2 + x2 + -16(-2 + x2) + 28 = 0
-2 + x2 + (-2 * -16 + x2 * -16) + 28 = 0
-2 + x2 + (32 + -16x2) + 28 = 0
Reorder the terms:
-2 + 32 + 28 + x2 + -16x2 = 0
Combine like terms: -2 + 32 = 30
30 + 28 + x2 + -16x2 = 0
Combine like terms: 30 + 28 = 58
58 + x2 + -16x2 = 0
Combine like terms: x2 + -16x2 = -15x2
58 + -15x2 = 0
Solving
58 + -15x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-58' to each side of the equation.
58 + -58 + -15x2 = 0 + -58
Combine like terms: 58 + -58 = 0
0 + -15x2 = 0 + -58
-15x2 = 0 + -58
Combine like terms: 0 + -58 = -58
-15x2 = -58
Divide each side by '-15'.
x2 = 3.866666667
Simplifying
x2 = 3.866666667
Take the square root of each side:
x = {-1.966384161, 1.966384161}
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