3x^2-60x=-6x^2-7x-40

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Solution for 3x^2-60x=-6x^2-7x-40 equation:


Simplifying
3x2 + -60x = -6x2 + -7x + -40

Reorder the terms:
-60x + 3x2 = -6x2 + -7x + -40

Reorder the terms:
-60x + 3x2 = -40 + -7x + -6x2

Solving
-60x + 3x2 = -40 + -7x + -6x2

Solving for variable 'x'.

Reorder the terms:
40 + -60x + 7x + 3x2 + 6x2 = -40 + -7x + -6x2 + 40 + 7x + 6x2

Combine like terms: -60x + 7x = -53x
40 + -53x + 3x2 + 6x2 = -40 + -7x + -6x2 + 40 + 7x + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
40 + -53x + 9x2 = -40 + -7x + -6x2 + 40 + 7x + 6x2

Reorder the terms:
40 + -53x + 9x2 = -40 + 40 + -7x + 7x + -6x2 + 6x2

Combine like terms: -40 + 40 = 0
40 + -53x + 9x2 = 0 + -7x + 7x + -6x2 + 6x2
40 + -53x + 9x2 = -7x + 7x + -6x2 + 6x2

Combine like terms: -7x + 7x = 0
40 + -53x + 9x2 = 0 + -6x2 + 6x2
40 + -53x + 9x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 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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