16x^2+18x+7=x^2-2x+7

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Solution for 16x^2+18x+7=x^2-2x+7 equation: 


Simplifying
16x2 + 18x + 7 = x2 + -2x + 7

Reorder the terms:
7 + 18x + 16x2 = x2 + -2x + 7

Reorder the terms:
7 + 18x + 16x2 = 7 + -2x + x2

Add '-7' to each side of the equation.
7 + 18x + -7 + 16x2 = 7 + -2x + -7 + x2

Reorder the terms:
7 + -7 + 18x + 16x2 = 7 + -2x + -7 + x2

Combine like terms: 7 + -7 = 0
0 + 18x + 16x2 = 7 + -2x + -7 + x2
18x + 16x2 = 7 + -2x + -7 + x2

Reorder the terms:
18x + 16x2 = 7 + -7 + -2x + x2

Combine like terms: 7 + -7 = 0
18x + 16x2 = 0 + -2x + x2
18x + 16x2 = -2x + x2

Solving
18x + 16x2 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
18x + 2x + 16x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 18x + 2x = 20x
20x + 16x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 16x2 + -1x2 = 15x2
20x + 15x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
20x + 15x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
20x + 15x2 = 0 + x2 + -1x2
20x + 15x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(4 + 3x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -1.333333333}

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