0=5x^2+7x+4

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Solution for 0=5x^2+7x+4 equation:


Simplifying
0 = 5x2 + 7x + 4

Reorder the terms:
0 = 4 + 7x + 5x2

Solving
0 = 4 + 7x + 5x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 7x + 5x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 7x + 5x2)' equal to zero and attempt to solve: Simplifying 4 + 7x + 5x2 = 0 Solving 4 + 7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 1.4x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.4x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.4x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.4x + x2 = 0 + -0.8 1.4x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.4x + x2 = -0.8 The x term is 1.4x. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4x + 0.49 + x2 = -0.8 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -0.8 + 0.49 Combine like terms: -0.8 + 0.49 = -0.31 0.49 + 1.4x + x2 = -0.31 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -0.31 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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