8x^2+20x+8=14x+35

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Solution for 8x^2+20x+8=14x+35 equation: 


Simplifying
8x2 + 20x + 8 = 14x + 35

Reorder the terms:
8 + 20x + 8x2 = 14x + 35

Reorder the terms:
8 + 20x + 8x2 = 35 + 14x

Solving
8 + 20x + 8x2 = 35 + 14x

Solving for variable 'x'.

Reorder the terms:
8 + -35 + 20x + -14x + 8x2 = 35 + 14x + -35 + -14x

Combine like terms: 8 + -35 = -27
-27 + 20x + -14x + 8x2 = 35 + 14x + -35 + -14x

Combine like terms: 20x + -14x = 6x
-27 + 6x + 8x2 = 35 + 14x + -35 + -14x

Reorder the terms:
-27 + 6x + 8x2 = 35 + -35 + 14x + -14x

Combine like terms: 35 + -35 = 0
-27 + 6x + 8x2 = 0 + 14x + -14x
-27 + 6x + 8x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
-27 + 6x + 8x2 = 0

Factor a trinomial.
(-9 + -4x)(3 + -2x) = 0


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

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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 = {-2.25, 1.5}

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