(2x^2-3x+9)-(5x^2-2x+7)=

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Solution for (2x^2-3x+9)-(5x^2-2x+7)= equation: 


Simplifying
(2x2 + -3x + 9) + -1(5x2 + -2x + 7) = 0

Reorder the terms:
(9 + -3x + 2x2) + -1(5x2 + -2x + 7) = 0

Remove parenthesis around (9 + -3x + 2x2)
9 + -3x + 2x2 + -1(5x2 + -2x + 7) = 0

Reorder the terms:
9 + -3x + 2x2 + -1(7 + -2x + 5x2) = 0
9 + -3x + 2x2 + (7 * -1 + -2x * -1 + 5x2 * -1) = 0
9 + -3x + 2x2 + (-7 + 2x + -5x2) = 0

Reorder the terms:
9 + -7 + -3x + 2x + 2x2 + -5x2 = 0

Combine like terms: 9 + -7 = 2
2 + -3x + 2x + 2x2 + -5x2 = 0

Combine like terms: -3x + 2x = -1x
2 + -1x + 2x2 + -5x2 = 0

Combine like terms: 2x2 + -5x2 = -3x2
2 + -1x + -3x2 = 0

Solving
2 + -1x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(1 + x) = 0


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0.6666666667, -1}

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