(X-10)(6X+4)=0

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Solution for (X-10)(6X+4)=0 equation: 


Simplifying
(X + -10)(6X + 4) = 0

Reorder the terms:
(-10 + X)(6X + 4) = 0

Reorder the terms:
(-10 + X)(4 + 6X) = 0

Multiply (-10 + X) * (4 + 6X)
(-10(4 + 6X) + X(4 + 6X)) = 0
((4 * -10 + 6X * -10) + X(4 + 6X)) = 0
((-40 + -60X) + X(4 + 6X)) = 0
(-40 + -60X + (4 * X + 6X * X)) = 0
(-40 + -60X + (4X + 6X2)) = 0

Combine like terms: -60X + 4X = -56X
(-40 + -56X + 6X2) = 0

Solving
-40 + -56X + 6X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -28X + 3X2) = 0

Factor a trinomial.
2((-2 + -3X)(10 + -1X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3X)' equal to zero and attempt to solve:

Simplifying
-2 + -3X = 0

Solving
-2 + -3X = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3X = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3X = 0 + 2
-3X = 0 + 2

Combine like terms: 0 + 2 = 2
-3X = 2

Divide each side by '-3'.
X = -0.6666666667

Simplifying
X = -0.6666666667

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 = {-0.6666666667, 10}

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