16x^2-16x+4=25

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Solution for 16x^2-16x+4=25 equation:


Simplifying
16x2 + -16x + 4 = 25

Reorder the terms:
4 + -16x + 16x2 = 25

Solving
4 + -16x + 16x2 = 25

Solving for variable 'x'.

Reorder the terms:
4 + -25 + -16x + 16x2 = 25 + -25

Combine like terms: 4 + -25 = -21
-21 + -16x + 16x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-21 + -16x + 16x2 = 0

Factor a trinomial.
(-3 + -4x)(7 + -4x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

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 = {-0.75, 1.75}

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