4x^2+24x+36=49

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Solution for 4x^2+24x+36=49 equation:


Simplifying
4x2 + 24x + 36 = 49

Reorder the terms:
36 + 24x + 4x2 = 49

Solving
36 + 24x + 4x2 = 49

Solving for variable 'x'.

Reorder the terms:
36 + -49 + 24x + 4x2 = 49 + -49

Combine like terms: 36 + -49 = -13
-13 + 24x + 4x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-13 + 24x + 4x2 = 0

Factor a trinomial.
(-13 + -2x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-6.5, 0.5}

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