4=x^2+3x

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Solution for 4=x^2+3x equation:


Simplifying
4 = x2 + 3x

Reorder the terms:
4 = 3x + x2

Solving
4 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
4 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
4 + -3x + -1x2 = 0 + x2 + -1x2
4 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -3x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(4 + x) = 0

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {1, -4}

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