4(x+10)(x-10)=

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Solution for 4(x+10)(x-10)= equation:


Simplifying
4(x + 10)(x + -10) = 0

Reorder the terms:
4(10 + x)(x + -10) = 0

Reorder the terms:
4(10 + x)(-10 + x) = 0

Multiply (10 + x) * (-10 + x)
4(10(-10 + x) + x(-10 + x)) = 0
4((-10 * 10 + x * 10) + x(-10 + x)) = 0
4((-100 + 10x) + x(-10 + x)) = 0
4(-100 + 10x + (-10 * x + x * x)) = 0
4(-100 + 10x + (-10x + x2)) = 0

Combine like terms: 10x + -10x = 0
4(-100 + 0 + x2) = 0
4(-100 + x2) = 0
(-100 * 4 + x2 * 4) = 0
(-400 + 4x2) = 0

Solving
-400 + 4x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '400' to each side of the equation.
-400 + 400 + 4x2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 4x2 = 0 + 400
4x2 = 0 + 400

Combine like terms: 0 + 400 = 400
4x2 = 400

Divide each side by '4'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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