4x^2-14x-49=-7x+2x^2

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Solution for 4x^2-14x-49=-7x+2x^2 equation: 


Simplifying
4x2 + -14x + -49 = -7x + 2x2

Reorder the terms:
-49 + -14x + 4x2 = -7x + 2x2

Solving
-49 + -14x + 4x2 = -7x + 2x2

Solving for variable 'x'.

Reorder the terms:
-49 + -14x + 7x + 4x2 + -2x2 = -7x + 2x2 + 7x + -2x2

Combine like terms: -14x + 7x = -7x
-49 + -7x + 4x2 + -2x2 = -7x + 2x2 + 7x + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
-49 + -7x + 2x2 = -7x + 2x2 + 7x + -2x2

Reorder the terms:
-49 + -7x + 2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
-49 + -7x + 2x2 = 0 + 2x2 + -2x2
-49 + -7x + 2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-49 + -7x + 2x2 = 0

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


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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-3.5, 7}

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