3x^2+1x(-5x+4)=

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Solution for 3x^2+1x(-5x+4)= equation: 


Simplifying
3x2 + 1x(-5x + 4) = 0

Reorder the terms:
3x2 + 1x(4 + -5x) = 0
3x2 + (4 * 1x + -5x * 1x) = 0
3x2 + (4x + -5x2) = 0

Reorder the terms:
4x + 3x2 + -5x2 = 0

Combine like terms: 3x2 + -5x2 = -2x2
4x + -2x2 = 0

Solving
4x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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