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

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


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

Reorder the terms:
3x(-5 + 2x) = -4x + -3
(-5 * 3x + 2x * 3x) = -4x + -3
(-15x + 6x2) = -4x + -3

Reorder the terms:
-15x + 6x2 = -3 + -4x

Solving
-15x + 6x2 = -3 + -4x

Solving for variable 'x'.

Reorder the terms:
3 + -15x + 4x + 6x2 = -3 + -4x + 3 + 4x

Combine like terms: -15x + 4x = -11x
3 + -11x + 6x2 = -3 + -4x + 3 + 4x

Reorder the terms:
3 + -11x + 6x2 = -3 + 3 + -4x + 4x

Combine like terms: -3 + 3 = 0
3 + -11x + 6x2 = 0 + -4x + 4x
3 + -11x + 6x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
3 + -11x + 6x2 = 0

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


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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