4x^2-20x+25=7x+7

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Solution for 4x^2-20x+25=7x+7 equation: 


Simplifying
4x2 + -20x + 25 = 7x + 7

Reorder the terms:
25 + -20x + 4x2 = 7x + 7

Reorder the terms:
25 + -20x + 4x2 = 7 + 7x

Solving
25 + -20x + 4x2 = 7 + 7x

Solving for variable 'x'.

Reorder the terms:
25 + -7 + -20x + -7x + 4x2 = 7 + 7x + -7 + -7x

Combine like terms: 25 + -7 = 18
18 + -20x + -7x + 4x2 = 7 + 7x + -7 + -7x

Combine like terms: -20x + -7x = -27x
18 + -27x + 4x2 = 7 + 7x + -7 + -7x

Reorder the terms:
18 + -27x + 4x2 = 7 + -7 + 7x + -7x

Combine like terms: 7 + -7 = 0
18 + -27x + 4x2 = 0 + 7x + -7x
18 + -27x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -27x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(6 + -1x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.75, 6}

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