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Simplifying
(4x + 7)(4x + -7) = 0
Reorder the terms:
(7 + 4x)(4x + -7) = 0
Reorder the terms:
(7 + 4x)(-7 + 4x) = 0
Multiply (7 + 4x) * (-7 + 4x)
(7(-7 + 4x) + 4x * (-7 + 4x)) = 0
((-7 * 7 + 4x * 7) + 4x * (-7 + 4x)) = 0
((-49 + 28x) + 4x * (-7 + 4x)) = 0
(-49 + 28x + (-7 * 4x + 4x * 4x)) = 0
(-49 + 28x + (-28x + 16x2)) = 0
Combine like terms: 28x + -28x = 0
(-49 + 0 + 16x2) = 0
(-49 + 16x2) = 0
Solving
-49 + 16x2 = 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 + 16x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16x2 = 0 + 49
16x2 = 0 + 49
Combine like terms: 0 + 49 = 49
16x2 = 49
Divide each side by '16'.
x2 = 3.0625
Simplifying
x2 = 3.0625
Take the square root of each side:
x = {-1.75, 1.75}
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