2x+2=8x^2+5x+2

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Solution for 2x+2=8x^2+5x+2 equation:


Simplifying
2x + 2 = 8x2 + 5x + 2

Reorder the terms:
2 + 2x = 8x2 + 5x + 2

Reorder the terms:
2 + 2x = 2 + 5x + 8x2

Add '-2' to each side of the equation.
2 + -2 + 2x = 2 + 5x + -2 + 8x2

Combine like terms: 2 + -2 = 0
0 + 2x = 2 + 5x + -2 + 8x2
2x = 2 + 5x + -2 + 8x2

Reorder the terms:
2x = 2 + -2 + 5x + 8x2

Combine like terms: 2 + -2 = 0
2x = 0 + 5x + 8x2
2x = 5x + 8x2

Solving
2x = 5x + 8x2

Solving for variable 'x'.

Combine like terms: 2x + -5x = -3x
-3x + -8x2 = 5x + 8x2 + -5x + -8x2

Reorder the terms:
-3x + -8x2 = 5x + -5x + 8x2 + -8x2

Combine like terms: 5x + -5x = 0
-3x + -8x2 = 0 + 8x2 + -8x2
-3x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 8x) = 0

Ignore the factor -1.

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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375

Solution

x = {0, -0.375}

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