10x^2+8x+16=0

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Solution for 10x^2+8x+16=0 equation:


Simplifying
10x2 + 8x + 16 = 0

Reorder the terms:
16 + 8x + 10x2 = 0

Solving
16 + 8x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 4x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8 + 4x + 5x2)' equal to zero and attempt to solve: Simplifying 8 + 4x + 5x2 = 0 Solving 8 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + 0.8x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 0.8x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 0.8x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.8x + x2 = 0 + -1.6 0.8x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 0.8x + x2 = -1.6 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -1.6 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -1.6 + 0.16 Combine like terms: -1.6 + 0.16 = -1.44 0.16 + 0.8x + x2 = -1.44 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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