(5x+2)(x-1)=5x^2-x+7

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Solution for (5x+2)(x-1)=5x^2-x+7 equation:


Simplifying
(5x + 2)(x + -1) = 5x2 + -1x + 7

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

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

Multiply (2 + 5x) * (-1 + x)
(2(-1 + x) + 5x * (-1 + x)) = 5x2 + -1x + 7
((-1 * 2 + x * 2) + 5x * (-1 + x)) = 5x2 + -1x + 7
((-2 + 2x) + 5x * (-1 + x)) = 5x2 + -1x + 7
(-2 + 2x + (-1 * 5x + x * 5x)) = 5x2 + -1x + 7
(-2 + 2x + (-5x + 5x2)) = 5x2 + -1x + 7

Combine like terms: 2x + -5x = -3x
(-2 + -3x + 5x2) = 5x2 + -1x + 7

Reorder the terms:
-2 + -3x + 5x2 = 7 + -1x + 5x2

Add '-5x2' to each side of the equation.
-2 + -3x + 5x2 + -5x2 = 7 + -1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2 + -3x + 0 = 7 + -1x + 5x2 + -5x2
-2 + -3x = 7 + -1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2 + -3x = 7 + -1x + 0
-2 + -3x = 7 + -1x

Solving
-2 + -3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
-2 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
-2 + -2x = 7 + 0
-2 + -2x = 7

Add '2' to each side of the equation.
-2 + 2 + -2x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 7 + 2
-2x = 7 + 2

Combine like terms: 7 + 2 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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