4x^2+8x-26=(x+3)(x-2)

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Solution for 4x^2+8x-26=(x+3)(x-2) equation: 


Simplifying
4x2 + 8x + -26 = (x + 3)(x + -2)

Reorder the terms:
-26 + 8x + 4x2 = (x + 3)(x + -2)

Reorder the terms:
-26 + 8x + 4x2 = (3 + x)(x + -2)

Reorder the terms:
-26 + 8x + 4x2 = (3 + x)(-2 + x)

Multiply (3 + x) * (-2 + x)
-26 + 8x + 4x2 = (3(-2 + x) + x(-2 + x))
-26 + 8x + 4x2 = ((-2 * 3 + x * 3) + x(-2 + x))
-26 + 8x + 4x2 = ((-6 + 3x) + x(-2 + x))
-26 + 8x + 4x2 = (-6 + 3x + (-2 * x + x * x))
-26 + 8x + 4x2 = (-6 + 3x + (-2x + x2))

Combine like terms: 3x + -2x = 1x
-26 + 8x + 4x2 = (-6 + 1x + x2)

Solving
-26 + 8x + 4x2 = -6 + 1x + x2

Solving for variable 'x'.

Reorder the terms:
-26 + 6 + 8x + -1x + 4x2 + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Combine like terms: -26 + 6 = -20
-20 + 8x + -1x + 4x2 + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Combine like terms: 8x + -1x = 7x
-20 + 7x + 4x2 + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-20 + 7x + 3x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Reorder the terms:
-20 + 7x + 3x2 = -6 + 6 + 1x + -1x + x2 + -1x2

Combine like terms: -6 + 6 = 0
-20 + 7x + 3x2 = 0 + 1x + -1x + x2 + -1x2
-20 + 7x + 3x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
-20 + 7x + 3x2 = 0 + x2 + -1x2
-20 + 7x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 7x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -3x) = 0


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-4, 1.666666667}

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