4x^2-6x-10=25-2x

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Solution for 4x^2-6x-10=25-2x equation: 


Simplifying
4x2 + -6x + -10 = 25 + -2x

Reorder the terms:
-10 + -6x + 4x2 = 25 + -2x

Solving
-10 + -6x + 4x2 = 25 + -2x

Solving for variable 'x'.

Reorder the terms:
-10 + -25 + -6x + 2x + 4x2 = 25 + -2x + -25 + 2x

Combine like terms: -10 + -25 = -35
-35 + -6x + 2x + 4x2 = 25 + -2x + -25 + 2x

Combine like terms: -6x + 2x = -4x
-35 + -4x + 4x2 = 25 + -2x + -25 + 2x

Reorder the terms:
-35 + -4x + 4x2 = 25 + -25 + -2x + 2x

Combine like terms: 25 + -25 = 0
-35 + -4x + 4x2 = 0 + -2x + 2x
-35 + -4x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-35 + -4x + 4x2 = 0

Factor a trinomial.
(-5 + -2x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, 3.5}

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