(2x-3)2+10x-21=0

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Solution for (2x-3)2+10x-21=0 equation:


Simplifying
(2x + -3) * 2 + 10x + -21 = 0

Reorder the terms:
(-3 + 2x) * 2 + 10x + -21 = 0

Reorder the terms for easier multiplication:
2(-3 + 2x) + 10x + -21 = 0
(-3 * 2 + 2x * 2) + 10x + -21 = 0
(-6 + 4x) + 10x + -21 = 0

Reorder the terms:
-6 + -21 + 4x + 10x = 0

Combine like terms: -6 + -21 = -27
-27 + 4x + 10x = 0

Combine like terms: 4x + 10x = 14x
-27 + 14x = 0

Solving
-27 + 14x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + 14x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 14x = 0 + 27
14x = 0 + 27

Combine like terms: 0 + 27 = 27
14x = 27

Divide each side by '14'.
x = 1.928571429

Simplifying
x = 1.928571429

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