4x(x+1)=35

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Solution for 4x(x+1)=35 equation:


Simplifying
4x(x + 1) = 35

Reorder the terms:
4x(1 + x) = 35
(1 * 4x + x * 4x) = 35
(4x + 4x2) = 35

Solving
4x + 4x2 = 35

Solving for variable 'x'.

Reorder the terms:
-35 + 4x + 4x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 4x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(5 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-3.5, 2.5}

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