x^2-(x+3)(x+4)=26

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Solution for x^2-(x+3)(x+4)=26 equation:


Simplifying
x2 + -1(x + 3)(x + 4) = 26

Reorder the terms:
x2 + -1(3 + x)(x + 4) = 26

Reorder the terms:
x2 + -1(3 + x)(4 + x) = 26

Multiply (3 + x) * (4 + x)
x2 + -1(3(4 + x) + x(4 + x)) = 26
x2 + -1((4 * 3 + x * 3) + x(4 + x)) = 26
x2 + -1((12 + 3x) + x(4 + x)) = 26
x2 + -1(12 + 3x + (4 * x + x * x)) = 26
x2 + -1(12 + 3x + (4x + x2)) = 26

Combine like terms: 3x + 4x = 7x
x2 + -1(12 + 7x + x2) = 26
x2 + (12 * -1 + 7x * -1 + x2 * -1) = 26
x2 + (-12 + -7x + -1x2) = 26

Reorder the terms:
-12 + -7x + x2 + -1x2 = 26

Combine like terms: x2 + -1x2 = 0
-12 + -7x + 0 = 26
-12 + -7x = 26

Solving
-12 + -7x = 26

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -7x = 26 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 26 + 12
-7x = 26 + 12

Combine like terms: 26 + 12 = 38
-7x = 38

Divide each side by '-7'.
x = -5.428571429

Simplifying
x = -5.428571429

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