7(4-6x)=3(9-15x)3x

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Solution for 7(4-6x)=3(9-15x)3x equation: 


Simplifying
7(4 + -6x) = 3(9 + -15x) * 3x
(4 * 7 + -6x * 7) = 3(9 + -15x) * 3x
(28 + -42x) = 3(9 + -15x) * 3x

Reorder the terms for easier multiplication:
28 + -42x = 3 * 3x(9 + -15x)

Multiply 3 * 3
28 + -42x = 9x(9 + -15x)
28 + -42x = (9 * 9x + -15x * 9x)
28 + -42x = (81x + -135x2)

Solving
28 + -42x = 81x + -135x2

Solving for variable 'x'.

Combine like terms: -42x + -81x = -123x
28 + -123x + 135x2 = 81x + -135x2 + -81x + 135x2

Reorder the terms:
28 + -123x + 135x2 = 81x + -81x + -135x2 + 135x2

Combine like terms: 81x + -81x = 0
28 + -123x + 135x2 = 0 + -135x2 + 135x2
28 + -123x + 135x2 = -135x2 + 135x2

Combine like terms: -135x2 + 135x2 = 0
28 + -123x + 135x2 = 0

Factor a trinomial.
(4 + -9x)(7 + -15x) = 0


Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

Subproblem 2
Set the factor '(7 + -15x)' equal to zero and attempt to solve:

Simplifying
7 + -15x = 0

Solving
7 + -15x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -15x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = 0 + -7
-15x = 0 + -7

Combine like terms: 0 + -7 = -7
-15x = -7

Divide each side by '-15'.
x = 0.4666666667

Simplifying
x = 0.4666666667
Solution
x = {0.4444444444, 0.4666666667}

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