2x^2+14x-5=4-3x

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Solution for 2x^2+14x-5=4-3x equation: 


Simplifying
2x2 + 14x + -5 = 4 + -3x

Reorder the terms:
-5 + 14x + 2x2 = 4 + -3x

Solving
-5 + 14x + 2x2 = 4 + -3x

Solving for variable 'x'.

Reorder the terms:
-5 + -4 + 14x + 3x + 2x2 = 4 + -3x + -4 + 3x

Combine like terms: -5 + -4 = -9
-9 + 14x + 3x + 2x2 = 4 + -3x + -4 + 3x

Combine like terms: 14x + 3x = 17x
-9 + 17x + 2x2 = 4 + -3x + -4 + 3x

Reorder the terms:
-9 + 17x + 2x2 = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
-9 + 17x + 2x2 = 0 + -3x + 3x
-9 + 17x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 17x + 2x2 = 0

Factor a trinomial.
(-9 + -1x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 0.5}

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