(5(x)x)-15=(4(x)x)-2x

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Solution for (5(x)x)-15=(4(x)x)-2x equation: 


Simplifying
(5(x) * x) + -15 = (4(x) * x) + -2x

Multiply x * x
(5x2) + -15 = (4(x) * x) + -2x

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

Multiply x * x
-15 + (5x2) = (4x2) + -2x

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

Solving
-15 + (5x2) = -2x + (4x2)

Solving for variable 'x'.

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

Combine like terms: (5x2) + (-4x2) = 1x2
-15 + 2x + 1x2 = -2x + (4x2) + 2x + (-4x2)

Reorder the terms:
-15 + 2x + 1x2 = -2x + 2x + (4x2) + (-4x2)

Combine like terms: -2x + 2x = 0
-15 + 2x + 1x2 = 0 + (4x2) + (-4x2)
-15 + 2x + 1x2 = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
-15 + 2x + 1x2 = 0

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


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-5, 3}

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