(3x^2-2x-33)+(7x^2+9x)=

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Solution for (3x^2-2x-33)+(7x^2+9x)= equation:


Simplifying
(3x2 + -2x + -33) + (7x2 + 9x) = 0

Reorder the terms:
(-33 + -2x + 3x2) + (7x2 + 9x) = 0

Remove parenthesis around (-33 + -2x + 3x2)
-33 + -2x + 3x2 + (7x2 + 9x) = 0

Reorder the terms:
-33 + -2x + 3x2 + (9x + 7x2) = 0

Remove parenthesis around (9x + 7x2)
-33 + -2x + 3x2 + 9x + 7x2 = 0

Reorder the terms:
-33 + -2x + 9x + 3x2 + 7x2 = 0

Combine like terms: -2x + 9x = 7x
-33 + 7x + 3x2 + 7x2 = 0

Combine like terms: 3x2 + 7x2 = 10x2
-33 + 7x + 10x2 = 0

Solving
-33 + 7x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -5x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-11 + -5x)' equal to zero and attempt to solve: Simplifying -11 + -5x = 0 Solving -11 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 0 + 11 -5x = 0 + 11 Combine like terms: 0 + 11 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-2.2, 1.5}

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