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Simplifying 10x2 + -1(x + 4)(4x + -1) + -4 = 6x2 + -15x Reorder the terms: 10x2 + -1(4 + x)(4x + -1) + -4 = 6x2 + -15x Reorder the terms: 10x2 + -1(4 + x)(-1 + 4x) + -4 = 6x2 + -15x Multiply (4 + x) * (-1 + 4x) 10x2 + -1(4(-1 + 4x) + x(-1 + 4x)) + -4 = 6x2 + -15x 10x2 + -1((-1 * 4 + 4x * 4) + x(-1 + 4x)) + -4 = 6x2 + -15x 10x2 + -1((-4 + 16x) + x(-1 + 4x)) + -4 = 6x2 + -15x 10x2 + -1(-4 + 16x + (-1 * x + 4x * x)) + -4 = 6x2 + -15x 10x2 + -1(-4 + 16x + (-1x + 4x2)) + -4 = 6x2 + -15x Combine like terms: 16x + -1x = 15x 10x2 + -1(-4 + 15x + 4x2) + -4 = 6x2 + -15x 10x2 + (-4 * -1 + 15x * -1 + 4x2 * -1) + -4 = 6x2 + -15x 10x2 + (4 + -15x + -4x2) + -4 = 6x2 + -15x Reorder the terms: 4 + -4 + -15x + 10x2 + -4x2 = 6x2 + -15x Combine like terms: 4 + -4 = 0 0 + -15x + 10x2 + -4x2 = 6x2 + -15x -15x + 10x2 + -4x2 = 6x2 + -15x Combine like terms: 10x2 + -4x2 = 6x2 -15x + 6x2 = 6x2 + -15x Reorder the terms: -15x + 6x2 = -15x + 6x2 Add '15x' to each side of the equation. -15x + 15x + 6x2 = -15x + 15x + 6x2 Combine like terms: -15x + 15x = 0 0 + 6x2 = -15x + 15x + 6x2 6x2 = -15x + 15x + 6x2 Combine like terms: -15x + 15x = 0 6x2 = 0 + 6x2 6x2 = 6x2 Add '-6x2' to each side of the equation. 6x2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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