2x(x+5)-x-4=7

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Solution for 2x(x+5)-x-4=7 equation:


Simplifying
2x(x + 5) + -1x + -4 = 7

Reorder the terms:
2x(5 + x) + -1x + -4 = 7
(5 * 2x + x * 2x) + -1x + -4 = 7
(10x + 2x2) + -1x + -4 = 7

Reorder the terms:
-4 + 10x + -1x + 2x2 = 7

Combine like terms: 10x + -1x = 9x
-4 + 9x + 2x2 = 7

Solving
-4 + 9x + 2x2 = 7

Solving for variable 'x'.

Reorder the terms:
-4 + -7 + 9x + 2x2 = 7 + -7

Combine like terms: -4 + -7 = -11
-11 + 9x + 2x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-11 + 9x + 2x2 = 0

Factor a trinomial.
(-11 + -2x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-5.5, 1}

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