2x^2-16x=-3x^2-4x-7

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Solution for 2x^2-16x=-3x^2-4x-7 equation: 


Simplifying
2x2 + -16x = -3x2 + -4x + -7

Reorder the terms:
-16x + 2x2 = -3x2 + -4x + -7

Reorder the terms:
-16x + 2x2 = -7 + -4x + -3x2

Solving
-16x + 2x2 = -7 + -4x + -3x2

Solving for variable 'x'.

Reorder the terms:
7 + -16x + 4x + 2x2 + 3x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2

Combine like terms: -16x + 4x = -12x
7 + -12x + 2x2 + 3x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
7 + -12x + 5x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2

Reorder the terms:
7 + -12x + 5x2 = -7 + 7 + -4x + 4x + -3x2 + 3x2

Combine like terms: -7 + 7 = 0
7 + -12x + 5x2 = 0 + -4x + 4x + -3x2 + 3x2
7 + -12x + 5x2 = -4x + 4x + -3x2 + 3x2

Combine like terms: -4x + 4x = 0
7 + -12x + 5x2 = 0 + -3x2 + 3x2
7 + -12x + 5x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + -12x + 5x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

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

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

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {1, 1.4}

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