5x^2-27x=-4x^2-7x-4

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Solution for 5x^2-27x=-4x^2-7x-4 equation:


Simplifying
5x2 + -27x = -4x2 + -7x + -4

Reorder the terms:
-27x + 5x2 = -4x2 + -7x + -4

Reorder the terms:
-27x + 5x2 = -4 + -7x + -4x2

Solving
-27x + 5x2 = -4 + -7x + -4x2

Solving for variable 'x'.

Reorder the terms:
4 + -27x + 7x + 5x2 + 4x2 = -4 + -7x + -4x2 + 4 + 7x + 4x2

Combine like terms: -27x + 7x = -20x
4 + -20x + 5x2 + 4x2 = -4 + -7x + -4x2 + 4 + 7x + 4x2

Combine like terms: 5x2 + 4x2 = 9x2
4 + -20x + 9x2 = -4 + -7x + -4x2 + 4 + 7x + 4x2

Reorder the terms:
4 + -20x + 9x2 = -4 + 4 + -7x + 7x + -4x2 + 4x2

Combine like terms: -4 + 4 = 0
4 + -20x + 9x2 = 0 + -7x + 7x + -4x2 + 4x2
4 + -20x + 9x2 = -7x + 7x + -4x2 + 4x2

Combine like terms: -7x + 7x = 0
4 + -20x + 9x2 = 0 + -4x2 + 4x2
4 + -20x + 9x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
4 + -20x + 9x2 = 0

Factor a trinomial.
(2 + -9x)(2 + -1x) = 0

Subproblem 1

Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.2222222222, 2}

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