16x^2+16x+3=3

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Solution for 16x^2+16x+3=3 equation:


Simplifying
16x2 + 16x + 3 = 3

Reorder the terms:
3 + 16x + 16x2 = 3

Add '-3' to each side of the equation.
3 + 16x + -3 + 16x2 = 3 + -3

Reorder the terms:
3 + -3 + 16x + 16x2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 16x + 16x2 = 3 + -3
16x + 16x2 = 3 + -3

Combine like terms: 3 + -3 = 0
16x + 16x2 = 0

Solving
16x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(1 + x) = 0

Ignore the factor 16.

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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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