x^2+10x+4=15

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Solution for x^2+10x+4=15 equation:


Simplifying
x2 + 10x + 4 = 15

Reorder the terms:
4 + 10x + x2 = 15

Solving
4 + 10x + x2 = 15

Solving for variable 'x'.

Reorder the terms:
4 + -15 + 10x + x2 = 15 + -15

Combine like terms: 4 + -15 = -11
-11 + 10x + x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-11 + 10x + x2 = 0

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

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

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 = {-11, 1}

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