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Simplifying
(x + 35)(x + -35) = 1.44
Reorder the terms:
(35 + x)(x + -35) = 1.44
Reorder the terms:
(35 + x)(-35 + x) = 1.44
Multiply (35 + x) * (-35 + x)
(35(-35 + x) + x(-35 + x)) = 1.44
((-35 * 35 + x * 35) + x(-35 + x)) = 1.44
((-1225 + 35x) + x(-35 + x)) = 1.44
(-1225 + 35x + (-35 * x + x * x)) = 1.44
(-1225 + 35x + (-35x + x2)) = 1.44
Combine like terms: 35x + -35x = 0
(-1225 + 0 + x2) = 1.44
(-1225 + x2) = 1.44
Solving
-1225 + x2 = 1.44
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1225' to each side of the equation.
-1225 + 1225 + x2 = 1.44 + 1225
Combine like terms: -1225 + 1225 = 0
0 + x2 = 1.44 + 1225
x2 = 1.44 + 1225
Combine like terms: 1.44 + 1225 = 1226.44
x2 = 1226.44
Simplifying
x2 = 1226.44
Take the square root of each side:
x = {-35.020565387, 35.020565387}
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