# 4x^2-17x+11=-4x+2

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## Solution for 4x^2-17x+11=-4x+2 equation:

Simplifying
4x2 + -17x + 11 = -4x + 2

Reorder the terms:
11 + -17x + 4x2 = -4x + 2

Reorder the terms:
11 + -17x + 4x2 = 2 + -4x

Solving
11 + -17x + 4x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
11 + -2 + -17x + 4x + 4x2 = 2 + -4x + -2 + 4x

Combine like terms: 11 + -2 = 9
9 + -17x + 4x + 4x2 = 2 + -4x + -2 + 4x

Combine like terms: -17x + 4x = -13x
9 + -13x + 4x2 = 2 + -4x + -2 + 4x

Reorder the terms:
9 + -13x + 4x2 = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
9 + -13x + 4x2 = 0 + -4x + 4x
9 + -13x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -13x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -4x) = 0

Subproblem 1Set 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
Subproblem 2Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25Solutionx = {1, 2.25}`