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Simplifying
6(x2 + -4) + 8 + -2x2 = 7
Reorder the terms:
6(-4 + x2) + 8 + -2x2 = 7
(-4 * 6 + x2 * 6) + 8 + -2x2 = 7
(-24 + 6x2) + 8 + -2x2 = 7
Reorder the terms:
-24 + 8 + 6x2 + -2x2 = 7
Combine like terms: -24 + 8 = -16
-16 + 6x2 + -2x2 = 7
Combine like terms: 6x2 + -2x2 = 4x2
-16 + 4x2 = 7
Solving
-16 + 4x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 4x2 = 7 + 16
Combine like terms: -16 + 16 = 0
0 + 4x2 = 7 + 16
4x2 = 7 + 16
Combine like terms: 7 + 16 = 23
4x2 = 23
Divide each side by '4'.
x2 = 5.75
Simplifying
x2 = 5.75
Take the square root of each side:
x = {-2.397915762, 2.397915762}
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