3(x*x)-25=x+5

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Solution for 3(x*x)-25=x+5 equation: 


Simplifying
3(x * x) + -25 = x + 5

Multiply x * x
3(x2) + -25 = x + 5

Reorder the terms:
-25 + 3x2 = x + 5

Reorder the terms:
-25 + 3x2 = 5 + x

Solving
-25 + 3x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-25 + -5 + -1x + 3x2 = 5 + x + -5 + -1x

Combine like terms: -25 + -5 = -30
-30 + -1x + 3x2 = 5 + x + -5 + -1x

Reorder the terms:
-30 + -1x + 3x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-30 + -1x + 3x2 = 0 + x + -1x
-30 + -1x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
-30 + -1x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(10 + -3x) = 0


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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-3, 3.333333333}

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