5x^2-26x=-3x^2-15

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Solution for 5x^2-26x=-3x^2-15 equation: 


Simplifying
5x2 + -26x = -3x2 + -15

Reorder the terms:
-26x + 5x2 = -3x2 + -15

Reorder the terms:
-26x + 5x2 = -15 + -3x2

Solving
-26x + 5x2 = -15 + -3x2

Solving for variable 'x'.

Reorder the terms:
15 + -26x + 5x2 + 3x2 = -15 + -3x2 + 15 + 3x2

Combine like terms: 5x2 + 3x2 = 8x2
15 + -26x + 8x2 = -15 + -3x2 + 15 + 3x2

Reorder the terms:
15 + -26x + 8x2 = -15 + 15 + -3x2 + 3x2

Combine like terms: -15 + 15 = 0
15 + -26x + 8x2 = 0 + -3x2 + 3x2
15 + -26x + 8x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
15 + -26x + 8x2 = 0

Factor a trinomial.
(3 + -4x)(5 + -2x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.75, 2.5}

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