4(x+60)(x-10)=0

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Solution for 4(x+60)(x-10)=0 equation: 


Simplifying
4(x + 60)(x + -10) = 0

Reorder the terms:
4(60 + x)(x + -10) = 0

Reorder the terms:
4(60 + x)(-10 + x) = 0

Multiply (60 + x) * (-10 + x)
4(60(-10 + x) + x(-10 + x)) = 0
4((-10 * 60 + x * 60) + x(-10 + x)) = 0
4((-600 + 60x) + x(-10 + x)) = 0
4(-600 + 60x + (-10 * x + x * x)) = 0
4(-600 + 60x + (-10x + x2)) = 0

Combine like terms: 60x + -10x = 50x
4(-600 + 50x + x2) = 0
(-600 * 4 + 50x * 4 + x2 * 4) = 0
(-2400 + 200x + 4x2) = 0

Solving
-2400 + 200x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-600 + 50x + x2) = 0

Factor a trinomial.
4((-60 + -1x)(10 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-60, 10}

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