4[2x-(3-x)+5]=x(2+7x)

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Solution for 4[2x-(3-x)+5]=x(2+7x) equation:


Simplifying
4[2x + -1(3 + -1x) + 5] = x(2 + 7x)
4[2x + (3 * -1 + -1x * -1) + 5] = x(2 + 7x)
4[2x + (-3 + 1x) + 5] = x(2 + 7x)

Reorder the terms:
4[-3 + 5 + 2x + 1x] = x(2 + 7x)

Combine like terms: -3 + 5 = 2
4[2 + 2x + 1x] = x(2 + 7x)

Combine like terms: 2x + 1x = 3x
4[2 + 3x] = x(2 + 7x)
[2 * 4 + 3x * 4] = x(2 + 7x)
[8 + 12x] = x(2 + 7x)
8 + 12x = (2 * x + 7x * x)
8 + 12x = (2x + 7x2)

Solving
8 + 12x = 2x + 7x2

Solving for variable 'x'.

Combine like terms: 12x + -2x = 10x
8 + 10x + -7x2 = 2x + 7x2 + -2x + -7x2

Reorder the terms:
8 + 10x + -7x2 = 2x + -2x + 7x2 + -7x2

Combine like terms: 2x + -2x = 0
8 + 10x + -7x2 = 0 + 7x2 + -7x2
8 + 10x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
8 + 10x + -7x2 = 0

Factor a trinomial.
(2 + -1x)(4 + 7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 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 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {2, -0.5714285714}

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