5x^2+19x-5=7-9x

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Solution for 5x^2+19x-5=7-9x equation: 


Simplifying
5x2 + 19x + -5 = 7 + -9x

Reorder the terms:
-5 + 19x + 5x2 = 7 + -9x

Solving
-5 + 19x + 5x2 = 7 + -9x

Solving for variable 'x'.

Reorder the terms:
-5 + -7 + 19x + 9x + 5x2 = 7 + -9x + -7 + 9x

Combine like terms: -5 + -7 = -12
-12 + 19x + 9x + 5x2 = 7 + -9x + -7 + 9x

Combine like terms: 19x + 9x = 28x
-12 + 28x + 5x2 = 7 + -9x + -7 + 9x

Reorder the terms:
-12 + 28x + 5x2 = 7 + -7 + -9x + 9x

Combine like terms: 7 + -7 = 0
-12 + 28x + 5x2 = 0 + -9x + 9x
-12 + 28x + 5x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 28x + 5x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-6, 0.4}

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