x^2+7x+4=4

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


Simplifying
x2 + 7x + 4 = 4

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

Add '-4' to each side of the equation.
4 + 7x + -4 + x2 = 4 + -4

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

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

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

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + x) = 0

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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {0, -7}

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