2x^2-58x=-7x^2-5x-40

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Solution for 2x^2-58x=-7x^2-5x-40 equation:


Simplifying
2x2 + -58x = -7x2 + -5x + -40

Reorder the terms:
-58x + 2x2 = -7x2 + -5x + -40

Reorder the terms:
-58x + 2x2 = -40 + -5x + -7x2

Solving
-58x + 2x2 = -40 + -5x + -7x2

Solving for variable 'x'.

Reorder the terms:
40 + -58x + 5x + 2x2 + 7x2 = -40 + -5x + -7x2 + 40 + 5x + 7x2

Combine like terms: -58x + 5x = -53x
40 + -53x + 2x2 + 7x2 = -40 + -5x + -7x2 + 40 + 5x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
40 + -53x + 9x2 = -40 + -5x + -7x2 + 40 + 5x + 7x2

Reorder the terms:
40 + -53x + 9x2 = -40 + 40 + -5x + 5x + -7x2 + 7x2

Combine like terms: -40 + 40 = 0
40 + -53x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2
40 + -53x + 9x2 = -5x + 5x + -7x2 + 7x2

Combine like terms: -5x + 5x = 0
40 + -53x + 9x2 = 0 + -7x2 + 7x2
40 + -53x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
40 + -53x + 9x2 = 0

Factor a trinomial.
(8 + -9x)(5 + -1x) = 0

Subproblem 1

Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.8888888889, 5}

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