2x^2-16x=-5x^2-4x-5

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Solution for 2x^2-16x=-5x^2-4x-5 equation:


Simplifying
2x2 + -16x = -5x2 + -4x + -5

Reorder the terms:
-16x + 2x2 = -5x2 + -4x + -5

Reorder the terms:
-16x + 2x2 = -5 + -4x + -5x2

Solving
-16x + 2x2 = -5 + -4x + -5x2

Solving for variable 'x'.

Reorder the terms:
5 + -16x + 4x + 2x2 + 5x2 = -5 + -4x + -5x2 + 5 + 4x + 5x2

Combine like terms: -16x + 4x = -12x
5 + -12x + 2x2 + 5x2 = -5 + -4x + -5x2 + 5 + 4x + 5x2

Combine like terms: 2x2 + 5x2 = 7x2
5 + -12x + 7x2 = -5 + -4x + -5x2 + 5 + 4x + 5x2

Reorder the terms:
5 + -12x + 7x2 = -5 + 5 + -4x + 4x + -5x2 + 5x2

Combine like terms: -5 + 5 = 0
5 + -12x + 7x2 = 0 + -4x + 4x + -5x2 + 5x2
5 + -12x + 7x2 = -4x + 4x + -5x2 + 5x2

Combine like terms: -4x + 4x = 0
5 + -12x + 7x2 = 0 + -5x2 + 5x2
5 + -12x + 7x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
5 + -12x + 7x2 = 0

Factor a trinomial.
(5 + -7x)(1 + -1x) = 0

Subproblem 1

Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143

Subproblem 2

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

Solution

x = {0.7142857143, 1}

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