x(5x+15)=2x^2-2x+56

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Solution for x(5x+15)=2x^2-2x+56 equation:


Simplifying
x(5x + 15) = 2x2 + -2x + 56

Reorder the terms:
x(15 + 5x) = 2x2 + -2x + 56
(15 * x + 5x * x) = 2x2 + -2x + 56
(15x + 5x2) = 2x2 + -2x + 56

Reorder the terms:
15x + 5x2 = 56 + -2x + 2x2

Solving
15x + 5x2 = 56 + -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
-56 + 15x + 2x + 5x2 + -2x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2

Combine like terms: 15x + 2x = 17x
-56 + 17x + 5x2 + -2x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-56 + 17x + 3x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2

Reorder the terms:
-56 + 17x + 3x2 = 56 + -56 + -2x + 2x + 2x2 + -2x2

Combine like terms: 56 + -56 = 0
-56 + 17x + 3x2 = 0 + -2x + 2x + 2x2 + -2x2
-56 + 17x + 3x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
-56 + 17x + 3x2 = 0 + 2x2 + -2x2
-56 + 17x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-56 + 17x + 3x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -3x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {-8, 2.333333333}

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