(4x-10)(-6x+2)=

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Solution for (4x-10)(-6x+2)= equation: 


Simplifying
(4x + -10)(-6x + 2) = 0

Reorder the terms:
(-10 + 4x)(-6x + 2) = 0

Reorder the terms:
(-10 + 4x)(2 + -6x) = 0

Multiply (-10 + 4x) * (2 + -6x)
(-10(2 + -6x) + 4x * (2 + -6x)) = 0
((2 * -10 + -6x * -10) + 4x * (2 + -6x)) = 0
((-20 + 60x) + 4x * (2 + -6x)) = 0
(-20 + 60x + (2 * 4x + -6x * 4x)) = 0
(-20 + 60x + (8x + -24x2)) = 0

Combine like terms: 60x + 8x = 68x
(-20 + 68x + -24x2) = 0

Solving
-20 + 68x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 17x + -6x2) = 0

Factor a trinomial.
4((-5 + 2x)(1 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {2.5, 0.3333333333}

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