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Simplifying
26 = (2x + -6)(x + 3)
Reorder the terms:
26 = (-6 + 2x)(x + 3)
Reorder the terms:
26 = (-6 + 2x)(3 + x)
Multiply (-6 + 2x) * (3 + x)
26 = (-6(3 + x) + 2x * (3 + x))
26 = ((3 * -6 + x * -6) + 2x * (3 + x))
26 = ((-18 + -6x) + 2x * (3 + x))
26 = (-18 + -6x + (3 * 2x + x * 2x))
26 = (-18 + -6x + (6x + 2x2))
Combine like terms: -6x + 6x = 0
26 = (-18 + 0 + 2x2)
26 = (-18 + 2x2)
Solving
26 = -18 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
26 + -2x2 = -18 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
26 + -2x2 = -18 + 0
26 + -2x2 = -18
Add '-26' to each side of the equation.
26 + -26 + -2x2 = -18 + -26
Combine like terms: 26 + -26 = 0
0 + -2x2 = -18 + -26
-2x2 = -18 + -26
Combine like terms: -18 + -26 = -44
-2x2 = -44
Divide each side by '-2'.
x2 = 22
Simplifying
x2 = 22
Take the square root of each side:
x = {-4.69041576, 4.69041576}
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