35x^2-25x=46x^2-46x-92

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Solution for 35x^2-25x=46x^2-46x-92 equation:


Simplifying
35x2 + -25x = 46x2 + -46x + -92

Reorder the terms:
-25x + 35x2 = 46x2 + -46x + -92

Reorder the terms:
-25x + 35x2 = -92 + -46x + 46x2

Solving
-25x + 35x2 = -92 + -46x + 46x2

Solving for variable 'x'.

Reorder the terms:
92 + -25x + 46x + 35x2 + -46x2 = -92 + -46x + 46x2 + 92 + 46x + -46x2

Combine like terms: -25x + 46x = 21x
92 + 21x + 35x2 + -46x2 = -92 + -46x + 46x2 + 92 + 46x + -46x2

Combine like terms: 35x2 + -46x2 = -11x2
92 + 21x + -11x2 = -92 + -46x + 46x2 + 92 + 46x + -46x2

Reorder the terms:
92 + 21x + -11x2 = -92 + 92 + -46x + 46x + 46x2 + -46x2

Combine like terms: -92 + 92 = 0
92 + 21x + -11x2 = 0 + -46x + 46x + 46x2 + -46x2
92 + 21x + -11x2 = -46x + 46x + 46x2 + -46x2

Combine like terms: -46x + 46x = 0
92 + 21x + -11x2 = 0 + 46x2 + -46x2
92 + 21x + -11x2 = 46x2 + -46x2

Combine like terms: 46x2 + -46x2 = 0
92 + 21x + -11x2 = 0

Factor a trinomial.
(4 + -1x)(23 + 11x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(23 + 11x)' equal to zero and attempt to solve: Simplifying 23 + 11x = 0 Solving 23 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 11x = 0 + -23 11x = 0 + -23 Combine like terms: 0 + -23 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091

Solution

x = {4, -2.090909091}

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