(x+5)(x+2)-3(4x-3)=x^2+10x+25

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Solution for (x+5)(x+2)-3(4x-3)=x^2+10x+25 equation:


Simplifying
(x + 5)(x + 2) + -3(4x + -3) = x2 + 10x + 25

Reorder the terms:
(5 + x)(x + 2) + -3(4x + -3) = x2 + 10x + 25

Reorder the terms:
(5 + x)(2 + x) + -3(4x + -3) = x2 + 10x + 25

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) + -3(4x + -3) = x2 + 10x + 25
((2 * 5 + x * 5) + x(2 + x)) + -3(4x + -3) = x2 + 10x + 25
((10 + 5x) + x(2 + x)) + -3(4x + -3) = x2 + 10x + 25
(10 + 5x + (2 * x + x * x)) + -3(4x + -3) = x2 + 10x + 25
(10 + 5x + (2x + x2)) + -3(4x + -3) = x2 + 10x + 25

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) + -3(4x + -3) = x2 + 10x + 25

Reorder the terms:
10 + 7x + x2 + -3(-3 + 4x) = x2 + 10x + 25
10 + 7x + x2 + (-3 * -3 + 4x * -3) = x2 + 10x + 25
10 + 7x + x2 + (9 + -12x) = x2 + 10x + 25

Reorder the terms:
10 + 9 + 7x + -12x + x2 = x2 + 10x + 25

Combine like terms: 10 + 9 = 19
19 + 7x + -12x + x2 = x2 + 10x + 25

Combine like terms: 7x + -12x = -5x
19 + -5x + x2 = x2 + 10x + 25

Reorder the terms:
19 + -5x + x2 = 25 + 10x + x2

Add '-1x2' to each side of the equation.
19 + -5x + x2 + -1x2 = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -5x + 0 = 25 + 10x + x2 + -1x2
19 + -5x = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -5x = 25 + 10x + 0
19 + -5x = 25 + 10x

Solving
19 + -5x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + -5x + -10x = 25 + 10x + -10x

Combine like terms: -5x + -10x = -15x
19 + -15x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -15x = 25 + 0
19 + -15x = 25

Add '-19' to each side of the equation.
19 + -19 + -15x = 25 + -19

Combine like terms: 19 + -19 = 0
0 + -15x = 25 + -19
-15x = 25 + -19

Combine like terms: 25 + -19 = 6
-15x = 6

Divide each side by '-15'.
x = -0.4

Simplifying
x = -0.4

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