(2x-3)(15x-5)=

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Solution for (2x-3)(15x-5)= equation:


Simplifying
(2x + -3)(15x + -5) = 0

Reorder the terms:
(-3 + 2x)(15x + -5) = 0

Reorder the terms:
(-3 + 2x)(-5 + 15x) = 0

Multiply (-3 + 2x) * (-5 + 15x)
(-3(-5 + 15x) + 2x * (-5 + 15x)) = 0
((-5 * -3 + 15x * -3) + 2x * (-5 + 15x)) = 0
((15 + -45x) + 2x * (-5 + 15x)) = 0
(15 + -45x + (-5 * 2x + 15x * 2x)) = 0
(15 + -45x + (-10x + 30x2)) = 0

Combine like terms: -45x + -10x = -55x
(15 + -55x + 30x2) = 0

Solving
15 + -55x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -11x + 6x2) = 0

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

Ignore the factor 5.

Subproblem 1
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

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.3333333333, 1.5}

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