3x^2+5x-11=25-18x

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Solution for 3x^2+5x-11=25-18x equation:


Simplifying
3x2 + 5x + -11 = 25 + -18x

Reorder the terms:
-11 + 5x + 3x2 = 25 + -18x

Solving
-11 + 5x + 3x2 = 25 + -18x

Solving for variable 'x'.

Reorder the terms:
-11 + -25 + 5x + 18x + 3x2 = 25 + -18x + -25 + 18x

Combine like terms: -11 + -25 = -36
-36 + 5x + 18x + 3x2 = 25 + -18x + -25 + 18x

Combine like terms: 5x + 18x = 23x
-36 + 23x + 3x2 = 25 + -18x + -25 + 18x

Reorder the terms:
-36 + 23x + 3x2 = 25 + -25 + -18x + 18x

Combine like terms: 25 + -25 = 0
-36 + 23x + 3x2 = 0 + -18x + 18x
-36 + 23x + 3x2 = -18x + 18x

Combine like terms: -18x + 18x = 0
-36 + 23x + 3x2 = 0

Factor a trinomial.
(-9 + -1x)(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {-9, 1.333333333}

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