2x^2+2x+1=145

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Solution for 2x^2+2x+1=145 equation:


Simplifying
2x2 + 2x + 1 = 145

Reorder the terms:
1 + 2x + 2x2 = 145

Solving
1 + 2x + 2x2 = 145

Solving for variable 'x'.

Reorder the terms:
1 + -145 + 2x + 2x2 = 145 + -145

Combine like terms: 1 + -145 = -144
-144 + 2x + 2x2 = 145 + -145

Combine like terms: 145 + -145 = 0
-144 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + x + x2) = 0

Factor a trinomial.
2((-9 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-9, 8}

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