(4x+7)(4x+7)=

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Solution for (4x+7)(4x+7)= equation:


Simplifying
(4x + 7)(4x + 7) = 0

Reorder the terms:
(7 + 4x)(4x + 7) = 0

Reorder the terms:
(7 + 4x)(7 + 4x) = 0

Multiply (7 + 4x) * (7 + 4x)
(7(7 + 4x) + 4x * (7 + 4x)) = 0
((7 * 7 + 4x * 7) + 4x * (7 + 4x)) = 0
((49 + 28x) + 4x * (7 + 4x)) = 0
(49 + 28x + (7 * 4x + 4x * 4x)) = 0
(49 + 28x + (28x + 16x2)) = 0

Combine like terms: 28x + 28x = 56x
(49 + 56x + 16x2) = 0

Solving
49 + 56x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 4x)(7 + 4x) = 0

Subproblem 1

Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

Subproblem 2

Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

Solution

x = {-1.75, -1.75}

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