4x^2+25x+25=-6x+4

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Solution for 4x^2+25x+25=-6x+4 equation: 


Simplifying
4x2 + 25x + 25 = -6x + 4

Reorder the terms:
25 + 25x + 4x2 = -6x + 4

Reorder the terms:
25 + 25x + 4x2 = 4 + -6x

Solving
25 + 25x + 4x2 = 4 + -6x

Solving for variable 'x'.

Reorder the terms:
25 + -4 + 25x + 6x + 4x2 = 4 + -6x + -4 + 6x

Combine like terms: 25 + -4 = 21
21 + 25x + 6x + 4x2 = 4 + -6x + -4 + 6x

Combine like terms: 25x + 6x = 31x
21 + 31x + 4x2 = 4 + -6x + -4 + 6x

Reorder the terms:
21 + 31x + 4x2 = 4 + -4 + -6x + 6x

Combine like terms: 4 + -4 = 0
21 + 31x + 4x2 = 0 + -6x + 6x
21 + 31x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
21 + 31x + 4x2 = 0

Factor a trinomial.
(7 + x)(3 + 4x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

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

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

Simplifying
x = -7

Subproblem 2
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
Solution
x = {-7, -0.75}

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