-2x^2-x+10=-18

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Solution for -2x^2-x+10=-18 equation:


Simplifying
-2x2 + -1x + 10 = -18

Reorder the terms:
10 + -1x + -2x2 = -18

Solving
10 + -1x + -2x2 = -18

Solving for variable 'x'.

Reorder the terms:
10 + 18 + -1x + -2x2 = -18 + 18

Combine like terms: 10 + 18 = 28
28 + -1x + -2x2 = -18 + 18

Combine like terms: -18 + 18 = 0
28 + -1x + -2x2 = 0

Factor a trinomial.
(7 + -2x)(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {3.5, -4}

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