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Simplifying
(4x + 10)(4x + -10) = 0
Reorder the terms:
(10 + 4x)(4x + -10) = 0
Reorder the terms:
(10 + 4x)(-10 + 4x) = 0
Multiply (10 + 4x) * (-10 + 4x)
(10(-10 + 4x) + 4x * (-10 + 4x)) = 0
((-10 * 10 + 4x * 10) + 4x * (-10 + 4x)) = 0
((-100 + 40x) + 4x * (-10 + 4x)) = 0
(-100 + 40x + (-10 * 4x + 4x * 4x)) = 0
(-100 + 40x + (-40x + 16x2)) = 0
Combine like terms: 40x + -40x = 0
(-100 + 0 + 16x2) = 0
(-100 + 16x2) = 0
Solving
-100 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 16x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 16x2 = 0 + 100
16x2 = 0 + 100
Combine like terms: 0 + 100 = 100
16x2 = 100
Divide each side by '16'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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