(5x-2)(x-3x+4)=

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Solution for (5x-2)(x-3x+4)= equation:


Simplifying
(5x + -2)(x + -3x + 4) = 0

Reorder the terms:
(-2 + 5x)(x + -3x + 4) = 0

Reorder the terms:
(-2 + 5x)(4 + x + -3x) = 0

Combine like terms: x + -3x = -2x
(-2 + 5x)(4 + -2x) = 0

Multiply (-2 + 5x) * (4 + -2x)
(-2(4 + -2x) + 5x * (4 + -2x)) = 0
((4 * -2 + -2x * -2) + 5x * (4 + -2x)) = 0
((-8 + 4x) + 5x * (4 + -2x)) = 0
(-8 + 4x + (4 * 5x + -2x * 5x)) = 0
(-8 + 4x + (20x + -10x2)) = 0

Combine like terms: 4x + 20x = 24x
(-8 + 24x + -10x2) = 0

Solving
-8 + 24x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 12x + -5x2) = 0

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

Ignore the factor 2.

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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {2, 0.4}

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