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Simplifying
(5x + 7)(5x + -7) = 0
Reorder the terms:
(7 + 5x)(5x + -7) = 0
Reorder the terms:
(7 + 5x)(-7 + 5x) = 0
Multiply (7 + 5x) * (-7 + 5x)
(7(-7 + 5x) + 5x * (-7 + 5x)) = 0
((-7 * 7 + 5x * 7) + 5x * (-7 + 5x)) = 0
((-49 + 35x) + 5x * (-7 + 5x)) = 0
(-49 + 35x + (-7 * 5x + 5x * 5x)) = 0
(-49 + 35x + (-35x + 25x2)) = 0
Combine like terms: 35x + -35x = 0
(-49 + 0 + 25x2) = 0
(-49 + 25x2) = 0
Solving
-49 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 25x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 25x2 = 0 + 49
25x2 = 0 + 49
Combine like terms: 0 + 49 = 49
25x2 = 49
Divide each side by '25'.
x2 = 1.96
Simplifying
x2 = 1.96
Take the square root of each side:
x = {-1.4, 1.4}
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