3x(5+2x)+4=25

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Solution for 3x(5+2x)+4=25 equation: 


Simplifying
3x(5 + 2x) + 4 = 25
(5 * 3x + 2x * 3x) + 4 = 25
(15x + 6x2) + 4 = 25

Reorder the terms:
4 + 15x + 6x2 = 25

Solving
4 + 15x + 6x2 = 25

Solving for variable 'x'.

Reorder the terms:
4 + -25 + 15x + 6x2 = 25 + -25

Combine like terms: 4 + -25 = -21
-21 + 15x + 6x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-21 + 15x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 5x + 2x2) = 0

Factor a trinomial.
3((-7 + -2x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3.5, 1}

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