x(16x+8)=35

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Solution for x(16x+8)=35 equation:


Simplifying
x(16x + 8) = 35

Reorder the terms:
x(8 + 16x) = 35
(8 * x + 16x * x) = 35
(8x + 16x2) = 35

Solving
8x + 16x2 = 35

Solving for variable 'x'.

Reorder the terms:
-35 + 8x + 16x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 8x + 16x2 = 0

Factor a trinomial.
(-7 + -4x)(5 + -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 '(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 = {-1.75, 1.25}

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