2x^2-14x-6=-5x-10

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Solution for 2x^2-14x-6=-5x-10 equation: 


Simplifying
2x2 + -14x + -6 = -5x + -10

Reorder the terms:
-6 + -14x + 2x2 = -5x + -10

Reorder the terms:
-6 + -14x + 2x2 = -10 + -5x

Solving
-6 + -14x + 2x2 = -10 + -5x

Solving for variable 'x'.

Reorder the terms:
-6 + 10 + -14x + 5x + 2x2 = -10 + -5x + 10 + 5x

Combine like terms: -6 + 10 = 4
4 + -14x + 5x + 2x2 = -10 + -5x + 10 + 5x

Combine like terms: -14x + 5x = -9x
4 + -9x + 2x2 = -10 + -5x + 10 + 5x

Reorder the terms:
4 + -9x + 2x2 = -10 + 10 + -5x + 5x

Combine like terms: -10 + 10 = 0
4 + -9x + 2x2 = 0 + -5x + 5x
4 + -9x + 2x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
4 + -9x + 2x2 = 0

Factor a trinomial.
(1 + -2x)(4 + -1x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0.5, 4}

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