16x^2+16x+4=49

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Solution for 16x^2+16x+4=49 equation:


Simplifying
16x2 + 16x + 4 = 49

Reorder the terms:
4 + 16x + 16x2 = 49

Solving
4 + 16x + 16x2 = 49

Solving for variable 'x'.

Reorder the terms:
4 + -49 + 16x + 16x2 = 49 + -49

Combine like terms: 4 + -49 = -45
-45 + 16x + 16x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-45 + 16x + 16x2 = 0

Factor a trinomial.
(-9 + -4x)(5 + -4x) = 0

Subproblem 1

Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25

Subproblem 2

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {-2.25, 1.25}

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